Greatest Common Factor of 75702 and 75708

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 75702, 75708 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 75702 and 75708 is 6.

GCF(75702,75708) = 6

GCF of 75702 and 75708

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

GCF of:
and

Greatest Common Factor of 75702 and 75708

GCF of 75702 and 75708 is 6

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

Prime Factorization of 75708


2 75708
2 37854
3 18927
3 6309
3 2103
701 701
1

Prime factors of 75708 are 2,3,701. Prime factorization of 75708 in exponential form is:

75708 = 22×33×7011

∴ So by taking common prime factors GCF of 75702 and 75708 is 6

Greatest Common Factor of 75702 and 75708 by matching factors method

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

Factors of 75708

List of positive integer factors of 75708 that divides 75708 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108,701,1402,2103,2804,4206,6309,8412,12618,18927,25236,37854,75708

Greatest Common Factor

We found the factors and prime factorization of 75702 and 75708. The biggest common factor number is the GCF number.
So the greatest common factor 75702 and 75708 is 6.

Also check out the Least Common Multiple of 75702 and 75708

Properties of GCF 75702 and 75708

(i) The GCF of 75702 and 75708 is associative

GCF of 75702 and 75708 = GCF of 75708 and 75702

Related Greatest Common Factor of 75702

Related Greatest Common Factor of 75708

Frequently Asked Questions on GCF of 75702 and 75708

1. What is the GCF of 75702 and 75708?

Answer: GCF of 75702 and 75708 is 6.

2. 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.

3. What are the Factors of 75708?

Answer: Factors of 75708 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 701, 1402, 2103, 2804, 4206, 6309, 8412, 12618, 18927, 25236, 37854, 75708. There are 24 integers that are factors of 75708. The greatest factor of 75708 is 75708.

4. How to Find the GCF of 75702 and 75708?

Answer:

Greatest Common Factor of 75702 and 75708 = 6

Step 1: Find the prime factorization of 75702

75702 = 2 x 3 x 11 x 31 x 37

Step 2: Find the prime factorization of 75708

75708 = 2 x 2 x 3 x 3 x 3 x 701

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 75702 and 75708 is 6