What is the Greatest Common Factor of 6538 and 6552?

Greatest common factor (GCF) of 6538 and 6552 is 14.

GCF(6538,6552) = 14

We will now calculate the prime factors of 6538 and 6552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6538 and 6552.

How to find the GCF of 6538 and 6552?

We will first find the prime factorization of 6538 and 6552. After we will calculate the factors of 6538 and 6552 and find the biggest common factor number .

Step-1: Prime Factorization of 6538

Prime factors of 6538 are 2, 7, 467. Prime factorization of 6538 in exponential form is:

6538 = 2¹ × 7¹ × 467¹

Step-2: Prime Factorization of 6552

Prime factors of 6552 are 2, 3, 7, 13. Prime factorization of 6552 in exponential form is:

6552 = 2³ × 3² × 7¹ × 13¹

Step-3: Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1, 2, 7, 14, 467, 934, 3269

Step-4: Factors of 6552

List of positive integer factors of 6552 that divides 6538 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6538 and 6552. The biggest common factor number is the GCF number.
So the greatest common factor 6538 and 6552 is 14.

Also check out the Least Common Multiple of 6538 and 6552