What is the Greatest Common Factor of 63965 and 63976?

Greatest common factor (GCF) of 63965 and 63976 is 11.

GCF(63965,63976) = 11

We will now calculate the prime factors of 63965 and 63976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63965 and 63976.

How to find the GCF of 63965 and 63976?

We will first find the prime factorization of 63965 and 63976. After we will calculate the factors of 63965 and 63976 and find the biggest common factor number .

Step-1: Prime Factorization of 63965

Prime factors of 63965 are 5, 11, 1163. Prime factorization of 63965 in exponential form is:

63965 = 5¹ × 11¹ × 1163¹

Step-2: Prime Factorization of 63976

Prime factors of 63976 are 2, 11, 727. Prime factorization of 63976 in exponential form is:

63976 = 2³ × 11¹ × 727¹

Step-3: Factors of 63965

List of positive integer factors of 63965 that divides 63965 without a remainder.

1, 5, 11, 55, 1163, 5815, 12793

Step-4: Factors of 63976

List of positive integer factors of 63976 that divides 63965 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 727, 1454, 2908, 5816, 7997, 15994, 31988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63965 and 63976. The biggest common factor number is the GCF number.
So the greatest common factor 63965 and 63976 is 11.

Also check out the Least Common Multiple of 63965 and 63976