What is the Greatest Common Factor of 63708 and 63722?

Greatest common factor (GCF) of 63708 and 63722 is 2.

GCF(63708,63722) = 2

We will now calculate the prime factors of 63708 and 63722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63708 and 63722.

How to find the GCF of 63708 and 63722?

We will first find the prime factorization of 63708 and 63722. After we will calculate the factors of 63708 and 63722 and find the biggest common factor number .

Step-1: Prime Factorization of 63708

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

63708 = 2² × 3¹ × 5309¹

Step-2: Prime Factorization of 63722

Prime factors of 63722 are 2, 151, 211. Prime factorization of 63722 in exponential form is:

63722 = 2¹ × 151¹ × 211¹

Step-3: 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

Step-4: Factors of 63722

List of positive integer factors of 63722 that divides 63708 without a remainder.

1, 2, 151, 211, 302, 422, 31861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63708 and 63722. The biggest common factor number is the GCF number.
So the greatest common factor 63708 and 63722 is 2.

Also check out the Least Common Multiple of 63708 and 63722