What is the Greatest Common Factor of 63696 and 63701?

Greatest common factor (GCF) of 63696 and 63701 is 1.

GCF(63696,63701) = 1

We will now calculate the prime factors of 63696 and 63701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63696 and 63701.

How to find the GCF of 63696 and 63701?

We will first find the prime factorization of 63696 and 63701. After we will calculate the factors of 63696 and 63701 and find the biggest common factor number .

Step-1: Prime Factorization of 63696

Prime factors of 63696 are 2, 3, 1327. Prime factorization of 63696 in exponential form is:

63696 = 2⁴ × 3¹ × 1327¹

Step-2: Prime Factorization of 63701

Prime factors of 63701 are 11, 5791. Prime factorization of 63701 in exponential form is:

63701 = 11¹ × 5791¹

Step-3: Factors of 63696

List of positive integer factors of 63696 that divides 63696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1327, 2654, 3981, 5308, 7962, 10616, 15924, 21232, 31848

Step-4: Factors of 63701

List of positive integer factors of 63701 that divides 63696 without a remainder.

1, 11, 5791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63696 and 63701. The biggest common factor number is the GCF number.
So the greatest common factor 63696 and 63701 is 1.

Also check out the Least Common Multiple of 63696 and 63701