What is the Greatest Common Factor of 79520 and 79539?

Greatest common factor (GCF) of 79520 and 79539 is 1.

GCF(79520,79539) = 1

We will now calculate the prime factors of 79520 and 79539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79520 and 79539.

How to find the GCF of 79520 and 79539?

We will first find the prime factorization of 79520 and 79539. After we will calculate the factors of 79520 and 79539 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 79539

Prime factors of 79539 are 3, 26513. Prime factorization of 79539 in exponential form is:

79539 = 3¹ × 26513¹

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 79539

List of positive integer factors of 79539 that divides 79520 without a remainder.

1, 3, 26513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79520 and 79539. The biggest common factor number is the GCF number.
So the greatest common factor 79520 and 79539 is 1.

Also check out the Least Common Multiple of 79520 and 79539