What is the Greatest Common Factor of 53972 and 53984?

Greatest common factor (GCF) of 53972 and 53984 is 4.

GCF(53972,53984) = 4

We will now calculate the prime factors of 53972 and 53984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53972 and 53984.

How to find the GCF of 53972 and 53984?

We will first find the prime factorization of 53972 and 53984. After we will calculate the factors of 53972 and 53984 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 53984

Prime factors of 53984 are 2, 7, 241. Prime factorization of 53984 in exponential form is:

53984 = 2⁵ × 7¹ × 241¹

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 53984

List of positive integer factors of 53984 that divides 53972 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 7712, 13496, 26992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53972 and 53984. The biggest common factor number is the GCF number.
So the greatest common factor 53972 and 53984 is 4.

Also check out the Least Common Multiple of 53972 and 53984