What is the Greatest Common Factor of 7536 and 7552?

Greatest common factor (GCF) of 7536 and 7552 is 16.

GCF(7536,7552) = 16

We will now calculate the prime factors of 7536 and 7552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7536 and 7552.

How to find the GCF of 7536 and 7552?

We will first find the prime factorization of 7536 and 7552. After we will calculate the factors of 7536 and 7552 and find the biggest common factor number .

Step-1: Prime Factorization of 7536

Prime factors of 7536 are 2, 3, 157. Prime factorization of 7536 in exponential form is:

7536 = 2⁴ × 3¹ × 157¹

Step-2: Prime Factorization of 7552

Prime factors of 7552 are 2, 59. Prime factorization of 7552 in exponential form is:

7552 = 2⁷ × 59¹

Step-3: Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768

Step-4: Factors of 7552

List of positive integer factors of 7552 that divides 7536 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7536 and 7552. The biggest common factor number is the GCF number.
So the greatest common factor 7536 and 7552 is 16.

Also check out the Least Common Multiple of 7536 and 7552