What is the Greatest Common Factor of 39974 and 39979?

Greatest common factor (GCF) of 39974 and 39979 is 1.

GCF(39974,39979) = 1

We will now calculate the prime factors of 39974 and 39979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39974 and 39979.

How to find the GCF of 39974 and 39979?

We will first find the prime factorization of 39974 and 39979. After we will calculate the factors of 39974 and 39979 and find the biggest common factor number .

Step-1: Prime Factorization of 39974

Prime factors of 39974 are 2, 11, 23, 79. Prime factorization of 39974 in exponential form is:

39974 = 2¹ × 11¹ × 23¹ × 79¹

Step-2: Prime Factorization of 39979

Prime factors of 39979 are 39979. Prime factorization of 39979 in exponential form is:

39979 = 39979¹

Step-3: Factors of 39974

List of positive integer factors of 39974 that divides 39974 without a remainder.

1, 2, 11, 22, 23, 46, 79, 158, 253, 506, 869, 1738, 1817, 3634, 19987

Step-4: Factors of 39979

List of positive integer factors of 39979 that divides 39974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39974 and 39979. The biggest common factor number is the GCF number.
So the greatest common factor 39974 and 39979 is 1.

Also check out the Least Common Multiple of 39974 and 39979