What is the Greatest Common Factor of 79520 and 79532?

Greatest common factor (GCF) of 79520 and 79532 is 4.

GCF(79520,79532) = 4

We will now calculate the prime factors of 79520 and 79532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79520 and 79532.

How to find the GCF of 79520 and 79532?

We will first find the prime factorization of 79520 and 79532. After we will calculate the factors of 79520 and 79532 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 79532

Prime factors of 79532 are 2, 59, 337. Prime factorization of 79532 in exponential form is:

79532 = 2² × 59¹ × 337¹

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 79532

List of positive integer factors of 79532 that divides 79520 without a remainder.

1, 2, 4, 59, 118, 236, 337, 674, 1348, 19883, 39766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79520 and 79532. The biggest common factor number is the GCF number.
So the greatest common factor 79520 and 79532 is 4.

Also check out the Least Common Multiple of 79520 and 79532