What is the Greatest Common Factor of 7552 and 7568?

Greatest common factor (GCF) of 7552 and 7568 is 16.

GCF(7552,7568) = 16

We will now calculate the prime factors of 7552 and 7568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7552 and 7568.

How to find the GCF of 7552 and 7568?

We will first find the prime factorization of 7552 and 7568. After we will calculate the factors of 7552 and 7568 and find the biggest common factor number .

Step-1: Prime Factorization of 7552

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

7552 = 2⁷ × 59¹

Step-2: Prime Factorization of 7568

Prime factors of 7568 are 2, 11, 43. Prime factorization of 7568 in exponential form is:

7568 = 2⁴ × 11¹ × 43¹

Step-3: Factors of 7552

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

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

Step-4: Factors of 7568

List of positive integer factors of 7568 that divides 7552 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7552 and 7568. The biggest common factor number is the GCF number.
So the greatest common factor 7552 and 7568 is 16.

Also check out the Least Common Multiple of 7552 and 7568