What is the Greatest Common Factor of 52992 and 53004?

Greatest common factor (GCF) of 52992 and 53004 is 12.

GCF(52992,53004) = 12

We will now calculate the prime factors of 52992 and 53004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52992 and 53004.

How to find the GCF of 52992 and 53004?

We will first find the prime factorization of 52992 and 53004. After we will calculate the factors of 52992 and 53004 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 53004

Prime factors of 53004 are 2, 3, 7, 631. Prime factorization of 53004 in exponential form is:

53004 = 2² × 3¹ × 7¹ × 631¹

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 53004

List of positive integer factors of 53004 that divides 52992 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 631, 1262, 1893, 2524, 3786, 4417, 7572, 8834, 13251, 17668, 26502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52992 and 53004. The biggest common factor number is the GCF number.
So the greatest common factor 52992 and 53004 is 12.

Also check out the Least Common Multiple of 52992 and 53004