Greatest Common Factor of 63702 and 63708

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 63702, 63708 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 63702 and 63708 is 6.

GCF(63702,63708) = 6

GCF of 63702 and 63708

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

GCF of:
and

Greatest Common Factor of 63702 and 63708

GCF of 63702 and 63708 is 6

Prime Factorization of 63702


2 63702
3 31851
3 10617
3539 3539
1

Prime factors of 63702 are 2,3,3539. Prime factorization of 63702 in exponential form is:

63702 = 21×32×35391

Prime Factorization of 63708


2 63708
2 31854
3 15927
5309 5309
1

Prime factors of 63708 are 2,3,5309. Prime factorization of 63708 in exponential form is:

63708 = 22×31×53091

∴ So by taking common prime factors GCF of 63702 and 63708 is 6

Greatest Common Factor of 63702 and 63708 by matching factors method

Factors of 63702

List of positive integer factors of 63702 that divides 63702 without a remainder.

1,2,3,6,9,18,3539,7078,10617,21234,31851,63702

Factors of 63708

List of positive integer factors of 63708 that divides 63708 without a remainder.

1,2,3,4,6,12,5309,10618,15927,21236,31854,63708

Greatest Common Factor

We found the factors and prime factorization of 63702 and 63708. The biggest common factor number is the GCF number.
So the greatest common factor 63702 and 63708 is 6.

Also check out the Least Common Multiple of 63702 and 63708

Properties of GCF 63702 and 63708

(i) The GCF of 63702 and 63708 is associative

GCF of 63702 and 63708 = GCF of 63708 and 63702

Related Greatest Common Factor of 63702

Related Greatest Common Factor of 63708

Frequently Asked Questions on GCF of 63702 and 63708

1. What is the GCF of 63702 and 63708?

Answer: GCF of 63702 and 63708 is 6.

2. What are the Factors of 63702?

Answer: Factors of 63702 are 1, 2, 3, 6, 9, 18, 3539, 7078, 10617, 21234, 31851, 63702. There are 12 integers that are factors of 63702. The greatest factor of 63702 is 63702.

3. What are the Factors of 63708?

Answer: Factors of 63708 are 1, 2, 3, 4, 6, 12, 5309, 10618, 15927, 21236, 31854, 63708. There are 12 integers that are factors of 63708. The greatest factor of 63708 is 63708.

4. How to Find the GCF of 63702 and 63708?

Answer:

Greatest Common Factor of 63702 and 63708 = 6

Step 1: Find the prime factorization of 63702

63702 = 2 x 3 x 3 x 3539

Step 2: Find the prime factorization of 63708

63708 = 2 x 2 x 3 x 5309

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 63702 and 63708 is 6