What is the Greatest Common Factor of 63776 and 63790?

Greatest common factor (GCF) of 63776 and 63790 is 2.

GCF(63776,63790) = 2

We will now calculate the prime factors of 63776 and 63790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63776 and 63790.

How to find the GCF of 63776 and 63790?

We will first find the prime factorization of 63776 and 63790. After we will calculate the factors of 63776 and 63790 and find the biggest common factor number .

Step-1: Prime Factorization of 63776

Prime factors of 63776 are 2, 1993. Prime factorization of 63776 in exponential form is:

63776 = 2⁵ × 1993¹

Step-2: Prime Factorization of 63790

Prime factors of 63790 are 2, 5, 6379. Prime factorization of 63790 in exponential form is:

63790 = 2¹ × 5¹ × 6379¹

Step-3: Factors of 63776

List of positive integer factors of 63776 that divides 63776 without a remainder.

1, 2, 4, 8, 16, 32, 1993, 3986, 7972, 15944, 31888

Step-4: Factors of 63790

List of positive integer factors of 63790 that divides 63776 without a remainder.

1, 2, 5, 10, 6379, 12758, 31895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63776 and 63790. The biggest common factor number is the GCF number.
So the greatest common factor 63776 and 63790 is 2.

Also check out the Least Common Multiple of 63776 and 63790