What is the Greatest Common Factor of 79540 and 79545?

Greatest common factor (GCF) of 79540 and 79545 is 5.

GCF(79540,79545) = 5

We will now calculate the prime factors of 79540 and 79545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79540 and 79545.

How to find the GCF of 79540 and 79545?

We will first find the prime factorization of 79540 and 79545. After we will calculate the factors of 79540 and 79545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79545

Prime factors of 79545 are 3, 5, 5303. Prime factorization of 79545 in exponential form is:

79545 = 3¹ × 5¹ × 5303¹

Step-3: Factors of 79540

List of positive integer factors of 79540 that divides 79540 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

Step-4: Factors of 79545

List of positive integer factors of 79545 that divides 79540 without a remainder.

1, 3, 5, 15, 5303, 15909, 26515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79540 and 79545. The biggest common factor number is the GCF number.
So the greatest common factor 79540 and 79545 is 5.

Also check out the Least Common Multiple of 79540 and 79545