What is the Greatest Common Factor of 5148 and 5159?

Greatest common factor (GCF) of 5148 and 5159 is 11.

GCF(5148,5159) = 11

We will now calculate the prime factors of 5148 and 5159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5148 and 5159.

How to find the GCF of 5148 and 5159?

We will first find the prime factorization of 5148 and 5159. After we will calculate the factors of 5148 and 5159 and find the biggest common factor number .

Step-1: Prime Factorization of 5148

Prime factors of 5148 are 2, 3, 11, 13. Prime factorization of 5148 in exponential form is:

5148 = 2² × 3² × 11¹ × 13¹

Step-2: Prime Factorization of 5159

Prime factors of 5159 are 7, 11, 67. Prime factorization of 5159 in exponential form is:

5159 = 7¹ × 11¹ × 67¹

Step-3: Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574

Step-4: Factors of 5159

List of positive integer factors of 5159 that divides 5148 without a remainder.

1, 7, 11, 67, 77, 469, 737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5148 and 5159. The biggest common factor number is the GCF number.
So the greatest common factor 5148 and 5159 is 11.

Also check out the Least Common Multiple of 5148 and 5159