What is the Greatest Common Factor of 7512 and 7520?

Greatest common factor (GCF) of 7512 and 7520 is 8.

GCF(7512,7520) = 8

We will now calculate the prime factors of 7512 and 7520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7512 and 7520.

How to find the GCF of 7512 and 7520?

We will first find the prime factorization of 7512 and 7520. After we will calculate the factors of 7512 and 7520 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7520

Prime factors of 7520 are 2, 5, 47. Prime factorization of 7520 in exponential form is:

7520 = 2⁵ × 5¹ × 47¹

Step-3: Factors of 7512

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

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

Step-4: Factors of 7520

List of positive integer factors of 7520 that divides 7512 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7512 and 7520. The biggest common factor number is the GCF number.
So the greatest common factor 7512 and 7520 is 8.

Also check out the Least Common Multiple of 7512 and 7520