What is the Greatest Common Factor of 63776 and 63780?

Greatest common factor (GCF) of 63776 and 63780 is 4.

GCF(63776,63780) = 4

We will now calculate the prime factors of 63776 and 63780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63776 and 63780.

How to find the GCF of 63776 and 63780?

We will first find the prime factorization of 63776 and 63780. After we will calculate the factors of 63776 and 63780 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 63780

Prime factors of 63780 are 2, 3, 5, 1063. Prime factorization of 63780 in exponential form is:

63780 = 2² × 3¹ × 5¹ × 1063¹

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 63780

List of positive integer factors of 63780 that divides 63776 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1063, 2126, 3189, 4252, 5315, 6378, 10630, 12756, 15945, 21260, 31890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63776 and 63780. The biggest common factor number is the GCF number.
So the greatest common factor 63776 and 63780 is 4.

Also check out the Least Common Multiple of 63776 and 63780