What is the Greatest Common Factor of 53972 and 53976?

Greatest common factor (GCF) of 53972 and 53976 is 4.

GCF(53972,53976) = 4

We will now calculate the prime factors of 53972 and 53976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53972 and 53976.

How to find the GCF of 53972 and 53976?

We will first find the prime factorization of 53972 and 53976. After we will calculate the factors of 53972 and 53976 and find the biggest common factor number .

Step-1: Prime Factorization of 53972

Prime factors of 53972 are 2, 103, 131. Prime factorization of 53972 in exponential form is:

53972 = 2² × 103¹ × 131¹

Step-2: Prime Factorization of 53976

Prime factors of 53976 are 2, 3, 13, 173. Prime factorization of 53976 in exponential form is:

53976 = 2³ × 3¹ × 13¹ × 173¹

Step-3: Factors of 53972

List of positive integer factors of 53972 that divides 53972 without a remainder.

1, 2, 4, 103, 131, 206, 262, 412, 524, 13493, 26986

Step-4: Factors of 53976

List of positive integer factors of 53976 that divides 53972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173, 312, 346, 519, 692, 1038, 1384, 2076, 2249, 4152, 4498, 6747, 8996, 13494, 17992, 26988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53972 and 53976. The biggest common factor number is the GCF number.
So the greatest common factor 53972 and 53976 is 4.

Also check out the Least Common Multiple of 53972 and 53976