What is the Greatest Common Factor of 79536 and 79552?

Greatest common factor (GCF) of 79536 and 79552 is 16.

GCF(79536,79552) = 16

We will now calculate the prime factors of 79536 and 79552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79536 and 79552.

How to find the GCF of 79536 and 79552?

We will first find the prime factorization of 79536 and 79552. After we will calculate the factors of 79536 and 79552 and find the biggest common factor number .

Step-1: Prime Factorization of 79536

Prime factors of 79536 are 2, 3, 1657. Prime factorization of 79536 in exponential form is:

79536 = 2⁴ × 3¹ × 1657¹

Step-2: Prime Factorization of 79552

Prime factors of 79552 are 2, 11, 113. Prime factorization of 79552 in exponential form is:

79552 = 2⁶ × 11¹ × 113¹

Step-3: Factors of 79536

List of positive integer factors of 79536 that divides 79536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1657, 3314, 4971, 6628, 9942, 13256, 19884, 26512, 39768

Step-4: Factors of 79552

List of positive integer factors of 79552 that divides 79536 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 113, 176, 226, 352, 452, 704, 904, 1243, 1808, 2486, 3616, 4972, 7232, 9944, 19888, 39776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79536 and 79552. The biggest common factor number is the GCF number.
So the greatest common factor 79536 and 79552 is 16.

Also check out the Least Common Multiple of 79536 and 79552