What is the Greatest Common Factor of 79520 and 79536?

Greatest common factor (GCF) of 79520 and 79536 is 16.

GCF(79520,79536) = 16

We will now calculate the prime factors of 79520 and 79536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79520 and 79536.

How to find the GCF of 79520 and 79536?

We will first find the prime factorization of 79520 and 79536. After we will calculate the factors of 79520 and 79536 and find the biggest common factor number .

Step-1: Prime Factorization of 79520

Prime factors of 79520 are 2, 5, 7, 71. Prime factorization of 79520 in exponential form is:

79520 = 2⁵ × 5¹ × 7¹ × 71¹

Step-2: 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-3: Factors of 79520

List of positive integer factors of 79520 that divides 79520 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 71, 80, 112, 140, 142, 160, 224, 280, 284, 355, 497, 560, 568, 710, 994, 1120, 1136, 1420, 1988, 2272, 2485, 2840, 3976, 4970, 5680, 7952, 9940, 11360, 15904, 19880, 39760

Step-4: Factors of 79536

List of positive integer factors of 79536 that divides 79520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79520 and 79536. The biggest common factor number is the GCF number.
So the greatest common factor 79520 and 79536 is 16.

Also check out the Least Common Multiple of 79520 and 79536