What is the Greatest Common Factor of 5152 and 5164?

Greatest common factor (GCF) of 5152 and 5164 is 4.

GCF(5152,5164) = 4

We will now calculate the prime factors of 5152 and 5164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5152 and 5164.

How to find the GCF of 5152 and 5164?

We will first find the prime factorization of 5152 and 5164. After we will calculate the factors of 5152 and 5164 and find the biggest common factor number .

Step-1: Prime Factorization of 5152

Prime factors of 5152 are 2, 7, 23. Prime factorization of 5152 in exponential form is:

5152 = 2⁵ × 7¹ × 23¹

Step-2: Prime Factorization of 5164

Prime factors of 5164 are 2, 1291. Prime factorization of 5164 in exponential form is:

5164 = 2² × 1291¹

Step-3: Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576

Step-4: Factors of 5164

List of positive integer factors of 5164 that divides 5152 without a remainder.

1, 2, 4, 1291, 2582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5152 and 5164. The biggest common factor number is the GCF number.
So the greatest common factor 5152 and 5164 is 4.

Also check out the Least Common Multiple of 5152 and 5164