What is the Greatest Common Factor of 63920 and 63928?

Greatest common factor (GCF) of 63920 and 63928 is 8.

GCF(63920,63928) = 8

We will now calculate the prime factors of 63920 and 63928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63920 and 63928.

How to find the GCF of 63920 and 63928?

We will first find the prime factorization of 63920 and 63928. After we will calculate the factors of 63920 and 63928 and find the biggest common factor number .

Step-1: Prime Factorization of 63920

Prime factors of 63920 are 2, 5, 17, 47. Prime factorization of 63920 in exponential form is:

63920 = 2⁴ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 63928

Prime factors of 63928 are 2, 61, 131. Prime factorization of 63928 in exponential form is:

63928 = 2³ × 61¹ × 131¹

Step-3: Factors of 63920

List of positive integer factors of 63920 that divides 63920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 47, 68, 80, 85, 94, 136, 170, 188, 235, 272, 340, 376, 470, 680, 752, 799, 940, 1360, 1598, 1880, 3196, 3760, 3995, 6392, 7990, 12784, 15980, 31960

Step-4: Factors of 63928

List of positive integer factors of 63928 that divides 63920 without a remainder.

1, 2, 4, 8, 61, 122, 131, 244, 262, 488, 524, 1048, 7991, 15982, 31964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63920 and 63928. The biggest common factor number is the GCF number.
So the greatest common factor 63920 and 63928 is 8.

Also check out the Least Common Multiple of 63920 and 63928