What is the Greatest Common Factor of 79545 and 79550?

Greatest common factor (GCF) of 79545 and 79550 is 5.

GCF(79545,79550) = 5

We will now calculate the prime factors of 79545 and 79550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79545 and 79550.

How to find the GCF of 79545 and 79550?

We will first find the prime factorization of 79545 and 79550. After we will calculate the factors of 79545 and 79550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79550

Prime factors of 79550 are 2, 5, 37, 43. Prime factorization of 79550 in exponential form is:

79550 = 2¹ × 5² × 37¹ × 43¹

Step-3: Factors of 79545

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

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

Step-4: Factors of 79550

List of positive integer factors of 79550 that divides 79545 without a remainder.

1, 2, 5, 10, 25, 37, 43, 50, 74, 86, 185, 215, 370, 430, 925, 1075, 1591, 1850, 2150, 3182, 7955, 15910, 39775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79545 and 79550. The biggest common factor number is the GCF number.
So the greatest common factor 79545 and 79550 is 5.

Also check out the Least Common Multiple of 79545 and 79550