Greatest Common Factor of 75696 and 75702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 75696, 75702 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 75696 and 75702 is 6.

GCF(75696,75702) = 6

GCF of 75696 and 75702

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 75696 and 75702

GCF of 75696 and 75702 is 6

Prime Factorization of 75696


2 75696
2 37848
2 18924
2 9462
3 4731
19 1577
83 83
1

Prime factors of 75696 are 2,3,19,83. Prime factorization of 75696 in exponential form is:

75696 = 24×31×191×831

Prime Factorization of 75702


2 75702
3 37851
11 12617
31 1147
37 37
1

Prime factors of 75702 are 2,3,11,31,37. Prime factorization of 75702 in exponential form is:

75702 = 21×31×111×311×371

∴ So by taking common prime factors GCF of 75696 and 75702 is 6

Greatest Common Factor of 75696 and 75702 by matching factors method

Factors of 75696

List of positive integer factors of 75696 that divides 75696 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,83,114,152,166,228,249,304,332,456,498,664,912,996,1328,1577,1992,3154,3984,4731,6308,9462,12616,18924,25232,37848,75696

Factors of 75702

List of positive integer factors of 75702 that divides 75702 without a remainder.

1,2,3,6,11,22,31,33,37,62,66,74,93,111,186,222,341,407,682,814,1023,1147,1221,2046,2294,2442,3441,6882,12617,25234,37851,75702

Greatest Common Factor

We found the factors and prime factorization of 75696 and 75702. The biggest common factor number is the GCF number.
So the greatest common factor 75696 and 75702 is 6.

Also check out the Least Common Multiple of 75696 and 75702

Properties of GCF 75696 and 75702

(i) The GCF of 75696 and 75702 is associative

GCF of 75696 and 75702 = GCF of 75702 and 75696

Related Greatest Common Factor of 75696

Related Greatest Common Factor of 75702

Frequently Asked Questions on GCF of 75696 and 75702

1. What is the GCF of 75696 and 75702?

Answer: GCF of 75696 and 75702 is 6.

2. What are the Factors of 75696?

Answer: Factors of 75696 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 83, 114, 152, 166, 228, 249, 304, 332, 456, 498, 664, 912, 996, 1328, 1577, 1992, 3154, 3984, 4731, 6308, 9462, 12616, 18924, 25232, 37848, 75696. There are 40 integers that are factors of 75696. The greatest factor of 75696 is 75696.

3. What are the Factors of 75702?

Answer: Factors of 75702 are 1, 2, 3, 6, 11, 22, 31, 33, 37, 62, 66, 74, 93, 111, 186, 222, 341, 407, 682, 814, 1023, 1147, 1221, 2046, 2294, 2442, 3441, 6882, 12617, 25234, 37851, 75702. There are 32 integers that are factors of 75702. The greatest factor of 75702 is 75702.

4. How to Find the GCF of 75696 and 75702?

Answer:

Greatest Common Factor of 75696 and 75702 = 6

Step 1: Find the prime factorization of 75696

75696 = 2 x 2 x 2 x 2 x 3 x 19 x 83

Step 2: Find the prime factorization of 75702

75702 = 2 x 3 x 11 x 31 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 75696 and 75702 is 6