What is the Greatest Common Factor of 52992 and 53012?

Greatest common factor (GCF) of 52992 and 53012 is 4.

GCF(52992,53012) = 4

We will now calculate the prime factors of 52992 and 53012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52992 and 53012.

How to find the GCF of 52992 and 53012?

We will first find the prime factorization of 52992 and 53012. After we will calculate the factors of 52992 and 53012 and find the biggest common factor number .

Step-1: Prime Factorization of 52992

Prime factors of 52992 are 2, 3, 23. Prime factorization of 52992 in exponential form is:

52992 = 2⁸ × 3² × 23¹

Step-2: Prime Factorization of 53012

Prime factors of 53012 are 2, 29, 457. Prime factorization of 53012 in exponential form is:

53012 = 2² × 29¹ × 457¹

Step-3: Factors of 52992

List of positive integer factors of 52992 that divides 52992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 256, 276, 288, 368, 384, 414, 552, 576, 736, 768, 828, 1104, 1152, 1472, 1656, 2208, 2304, 2944, 3312, 4416, 5888, 6624, 8832, 13248, 17664, 26496

Step-4: Factors of 53012

List of positive integer factors of 53012 that divides 52992 without a remainder.

1, 2, 4, 29, 58, 116, 457, 914, 1828, 13253, 26506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52992 and 53012. The biggest common factor number is the GCF number.
So the greatest common factor 52992 and 53012 is 4.

Also check out the Least Common Multiple of 52992 and 53012