What is the Greatest Common Factor of 79975 and 79993?

Greatest common factor (GCF) of 79975 and 79993 is 1.

GCF(79975,79993) = 1

We will now calculate the prime factors of 79975 and 79993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79975 and 79993.

How to find the GCF of 79975 and 79993?

We will first find the prime factorization of 79975 and 79993. After we will calculate the factors of 79975 and 79993 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79993

Prime factors of 79993 are 167, 479. Prime factorization of 79993 in exponential form is:

79993 = 167¹ × 479¹

Step-3: Factors of 79975

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

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

Step-4: Factors of 79993

List of positive integer factors of 79993 that divides 79975 without a remainder.

1, 167, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79975 and 79993. The biggest common factor number is the GCF number.
So the greatest common factor 79975 and 79993 is 1.

Also check out the Least Common Multiple of 79975 and 79993