What is the Greatest Common Factor of 52752 and 52772?

Greatest common factor (GCF) of 52752 and 52772 is 4.

GCF(52752,52772) = 4

We will now calculate the prime factors of 52752 and 52772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52752 and 52772.

How to find the GCF of 52752 and 52772?

We will first find the prime factorization of 52752 and 52772. After we will calculate the factors of 52752 and 52772 and find the biggest common factor number .

Step-1: Prime Factorization of 52752

Prime factors of 52752 are 2, 3, 7, 157. Prime factorization of 52752 in exponential form is:

52752 = 2⁴ × 3¹ × 7¹ × 157¹

Step-2: Prime Factorization of 52772

Prime factors of 52772 are 2, 79, 167. Prime factorization of 52772 in exponential form is:

52772 = 2² × 79¹ × 167¹

Step-3: Factors of 52752

List of positive integer factors of 52752 that divides 52752 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 157, 168, 314, 336, 471, 628, 942, 1099, 1256, 1884, 2198, 2512, 3297, 3768, 4396, 6594, 7536, 8792, 13188, 17584, 26376

Step-4: Factors of 52772

List of positive integer factors of 52772 that divides 52752 without a remainder.

1, 2, 4, 79, 158, 167, 316, 334, 668, 13193, 26386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52752 and 52772. The biggest common factor number is the GCF number.
So the greatest common factor 52752 and 52772 is 4.

Also check out the Least Common Multiple of 52752 and 52772