What is the Greatest Common Factor of 79960 and 79975?

Greatest common factor (GCF) of 79960 and 79975 is 5.

GCF(79960,79975) = 5

We will now calculate the prime factors of 79960 and 79975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79960 and 79975.

How to find the GCF of 79960 and 79975?

We will first find the prime factorization of 79960 and 79975. After we will calculate the factors of 79960 and 79975 and find the biggest common factor number .

Step-1: Prime Factorization of 79960

Prime factors of 79960 are 2, 5, 1999. Prime factorization of 79960 in exponential form is:

79960 = 2³ × 5¹ × 1999¹

Step-2: Prime Factorization of 79975

Prime factors of 79975 are 5, 7, 457. Prime factorization of 79975 in exponential form is:

79975 = 5² × 7¹ × 457¹

Step-3: Factors of 79960

List of positive integer factors of 79960 that divides 79960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1999, 3998, 7996, 9995, 15992, 19990, 39980

Step-4: Factors of 79975

List of positive integer factors of 79975 that divides 79960 without a remainder.

1, 5, 7, 25, 35, 175, 457, 2285, 3199, 11425, 15995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79960 and 79975. The biggest common factor number is the GCF number.
So the greatest common factor 79960 and 79975 is 5.

Also check out the Least Common Multiple of 79960 and 79975