What is the Greatest Common Factor of 79532 and 79540?

Greatest common factor (GCF) of 79532 and 79540 is 4.

GCF(79532,79540) = 4

We will now calculate the prime factors of 79532 and 79540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79532 and 79540.

How to find the GCF of 79532 and 79540?

We will first find the prime factorization of 79532 and 79540. After we will calculate the factors of 79532 and 79540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79540

Prime factors of 79540 are 2, 5, 41, 97. Prime factorization of 79540 in exponential form is:

79540 = 2² × 5¹ × 41¹ × 97¹

Step-3: Factors of 79532

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

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

Step-4: Factors of 79540

List of positive integer factors of 79540 that divides 79532 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 97, 164, 194, 205, 388, 410, 485, 820, 970, 1940, 3977, 7954, 15908, 19885, 39770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79532 and 79540. The biggest common factor number is the GCF number.
So the greatest common factor 79532 and 79540 is 4.

Also check out the Least Common Multiple of 79532 and 79540