What is the Greatest Common Factor of 73979 and 73987?

Greatest common factor (GCF) of 73979 and 73987 is 1.

GCF(73979,73987) = 1

We will now calculate the prime factors of 73979 and 73987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73979 and 73987.

How to find the GCF of 73979 and 73987?

We will first find the prime factorization of 73979 and 73987. After we will calculate the factors of 73979 and 73987 and find the biggest common factor number .

Step-1: Prime Factorization of 73979

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

73979 = 29¹ × 2551¹

Step-2: Prime Factorization of 73987

Prime factors of 73987 are 241, 307. Prime factorization of 73987 in exponential form is:

73987 = 241¹ × 307¹

Step-3: Factors of 73979

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

1, 29, 2551

Step-4: Factors of 73987

List of positive integer factors of 73987 that divides 73979 without a remainder.

1, 241, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73979 and 73987. The biggest common factor number is the GCF number.
So the greatest common factor 73979 and 73987 is 1.

Also check out the Least Common Multiple of 73979 and 73987