What is the Greatest Common Factor of 73975 and 73979?

Greatest common factor (GCF) of 73975 and 73979 is 1.

GCF(73975,73979) = 1

We will now calculate the prime factors of 73975 and 73979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73975 and 73979.

How to find the GCF of 73975 and 73979?

We will first find the prime factorization of 73975 and 73979. After we will calculate the factors of 73975 and 73979 and find the biggest common factor number .

Step-1: Prime Factorization of 73975

Prime factors of 73975 are 5, 11, 269. Prime factorization of 73975 in exponential form is:

73975 = 5² × 11¹ × 269¹

Step-2: Prime Factorization of 73979

Prime factors of 73979 are 29, 2551. Prime factorization of 73979 in exponential form is:

73979 = 29¹ × 2551¹

Step-3: Factors of 73975

List of positive integer factors of 73975 that divides 73975 without a remainder.

1, 5, 11, 25, 55, 269, 275, 1345, 2959, 6725, 14795

Step-4: Factors of 73979

List of positive integer factors of 73979 that divides 73975 without a remainder.

1, 29, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73975 and 73979. The biggest common factor number is the GCF number.
So the greatest common factor 73975 and 73979 is 1.

Also check out the Least Common Multiple of 73975 and 73979