What is the Greatest Common Factor of 53152 and 53156?

Greatest common factor (GCF) of 53152 and 53156 is 4.

GCF(53152,53156) = 4

We will now calculate the prime factors of 53152 and 53156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53152 and 53156.

How to find the GCF of 53152 and 53156?

We will first find the prime factorization of 53152 and 53156. After we will calculate the factors of 53152 and 53156 and find the biggest common factor number .

Step-1: Prime Factorization of 53152

Prime factors of 53152 are 2, 11, 151. Prime factorization of 53152 in exponential form is:

53152 = 2⁵ × 11¹ × 151¹

Step-2: Prime Factorization of 53156

Prime factors of 53156 are 2, 97, 137. Prime factorization of 53156 in exponential form is:

53156 = 2² × 97¹ × 137¹

Step-3: Factors of 53152

List of positive integer factors of 53152 that divides 53152 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 151, 176, 302, 352, 604, 1208, 1661, 2416, 3322, 4832, 6644, 13288, 26576

Step-4: Factors of 53156

List of positive integer factors of 53156 that divides 53152 without a remainder.

1, 2, 4, 97, 137, 194, 274, 388, 548, 13289, 26578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53152 and 53156. The biggest common factor number is the GCF number.
So the greatest common factor 53152 and 53156 is 4.

Also check out the Least Common Multiple of 53152 and 53156