What is the Greatest Common Factor of 79536 and 79544?

Greatest common factor (GCF) of 79536 and 79544 is 8.

GCF(79536,79544) = 8

We will now calculate the prime factors of 79536 and 79544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79536 and 79544.

How to find the GCF of 79536 and 79544?

We will first find the prime factorization of 79536 and 79544. After we will calculate the factors of 79536 and 79544 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 79544

Prime factors of 79544 are 2, 61, 163. Prime factorization of 79544 in exponential form is:

79544 = 2³ × 61¹ × 163¹

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 79544

List of positive integer factors of 79544 that divides 79536 without a remainder.

1, 2, 4, 8, 61, 122, 163, 244, 326, 488, 652, 1304, 9943, 19886, 39772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79536 and 79544. The biggest common factor number is the GCF number.
So the greatest common factor 79536 and 79544 is 8.

Also check out the Least Common Multiple of 79536 and 79544