What is the Greatest Common Factor of 52144 and 52152?

Greatest common factor (GCF) of 52144 and 52152 is 8.

GCF(52144,52152) = 8

We will now calculate the prime factors of 52144 and 52152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52144 and 52152.

How to find the GCF of 52144 and 52152?

We will first find the prime factorization of 52144 and 52152. After we will calculate the factors of 52144 and 52152 and find the biggest common factor number .

Step-1: Prime Factorization of 52144

Prime factors of 52144 are 2, 3259. Prime factorization of 52144 in exponential form is:

52144 = 2⁴ × 3259¹

Step-2: Prime Factorization of 52152

Prime factors of 52152 are 2, 3, 41, 53. Prime factorization of 52152 in exponential form is:

52152 = 2³ × 3¹ × 41¹ × 53¹

Step-3: Factors of 52144

List of positive integer factors of 52144 that divides 52144 without a remainder.

1, 2, 4, 8, 16, 3259, 6518, 13036, 26072

Step-4: Factors of 52152

List of positive integer factors of 52152 that divides 52144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 53, 82, 106, 123, 159, 164, 212, 246, 318, 328, 424, 492, 636, 984, 1272, 2173, 4346, 6519, 8692, 13038, 17384, 26076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52144 and 52152. The biggest common factor number is the GCF number.
So the greatest common factor 52144 and 52152 is 8.

Also check out the Least Common Multiple of 52144 and 52152