What is the Greatest Common Factor of 52984 and 52992?

Greatest common factor (GCF) of 52984 and 52992 is 8.

GCF(52984,52992) = 8

We will now calculate the prime factors of 52984 and 52992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52984 and 52992.

How to find the GCF of 52984 and 52992?

We will first find the prime factorization of 52984 and 52992. After we will calculate the factors of 52984 and 52992 and find the biggest common factor number .

Step-1: Prime Factorization of 52984

Prime factors of 52984 are 2, 37, 179. Prime factorization of 52984 in exponential form is:

52984 = 2³ × 37¹ × 179¹

Step-2: 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-3: Factors of 52984

List of positive integer factors of 52984 that divides 52984 without a remainder.

1, 2, 4, 8, 37, 74, 148, 179, 296, 358, 716, 1432, 6623, 13246, 26492

Step-4: Factors of 52992

List of positive integer factors of 52992 that divides 52984 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52984 and 52992. The biggest common factor number is the GCF number.
So the greatest common factor 52984 and 52992 is 8.

Also check out the Least Common Multiple of 52984 and 52992