What is the Greatest Common Factor of 79550 and 79565?

Greatest common factor (GCF) of 79550 and 79565 is 5.

GCF(79550,79565) = 5

We will now calculate the prime factors of 79550 and 79565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79550 and 79565.

How to find the GCF of 79550 and 79565?

We will first find the prime factorization of 79550 and 79565. After we will calculate the factors of 79550 and 79565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79565

Prime factors of 79565 are 5, 15913. Prime factorization of 79565 in exponential form is:

79565 = 5¹ × 15913¹

Step-3: Factors of 79550

List of positive integer factors of 79550 that divides 79550 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

Step-4: Factors of 79565

List of positive integer factors of 79565 that divides 79550 without a remainder.

1, 5, 15913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79550 and 79565. The biggest common factor number is the GCF number.
So the greatest common factor 79550 and 79565 is 5.

Also check out the Least Common Multiple of 79550 and 79565