What is the Greatest Common Factor of 6524 and 6544?

Greatest common factor (GCF) of 6524 and 6544 is 4.

GCF(6524,6544) = 4

We will now calculate the prime factors of 6524 and 6544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6524 and 6544.

How to find the GCF of 6524 and 6544?

We will first find the prime factorization of 6524 and 6544. After we will calculate the factors of 6524 and 6544 and find the biggest common factor number .

Step-1: Prime Factorization of 6524

Prime factors of 6524 are 2, 7, 233. Prime factorization of 6524 in exponential form is:

6524 = 2² × 7¹ × 233¹

Step-2: Prime Factorization of 6544

Prime factors of 6544 are 2, 409. Prime factorization of 6544 in exponential form is:

6544 = 2⁴ × 409¹

Step-3: Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262

Step-4: Factors of 6544

List of positive integer factors of 6544 that divides 6524 without a remainder.

1, 2, 4, 8, 16, 409, 818, 1636, 3272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6524 and 6544. The biggest common factor number is the GCF number.
So the greatest common factor 6524 and 6544 is 4.

Also check out the Least Common Multiple of 6524 and 6544