What is the Greatest Common Factor of 7504 and 7512?

Greatest common factor (GCF) of 7504 and 7512 is 8.

GCF(7504,7512) = 8

We will now calculate the prime factors of 7504 and 7512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7504 and 7512.

How to find the GCF of 7504 and 7512?

We will first find the prime factorization of 7504 and 7512. After we will calculate the factors of 7504 and 7512 and find the biggest common factor number .

Step-1: Prime Factorization of 7504

Prime factors of 7504 are 2, 7, 67. Prime factorization of 7504 in exponential form is:

7504 = 2⁴ × 7¹ × 67¹

Step-2: Prime Factorization of 7512

Prime factors of 7512 are 2, 3, 313. Prime factorization of 7512 in exponential form is:

7512 = 2³ × 3¹ × 313¹

Step-3: Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752

Step-4: Factors of 7512

List of positive integer factors of 7512 that divides 7504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7504 and 7512. The biggest common factor number is the GCF number.
So the greatest common factor 7504 and 7512 is 8.

Also check out the Least Common Multiple of 7504 and 7512