What is the Greatest Common Factor of 39974 and 39994?

Greatest common factor (GCF) of 39974 and 39994 is 2.

GCF(39974,39994) = 2

We will now calculate the prime factors of 39974 and 39994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39974 and 39994.

How to find the GCF of 39974 and 39994?

We will first find the prime factorization of 39974 and 39994. After we will calculate the factors of 39974 and 39994 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 39994

Prime factors of 39994 are 2, 19997. Prime factorization of 39994 in exponential form is:

39994 = 2¹ × 19997¹

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 39994

List of positive integer factors of 39994 that divides 39974 without a remainder.

1, 2, 19997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39974 and 39994. The biggest common factor number is the GCF number.
So the greatest common factor 39974 and 39994 is 2.

Also check out the Least Common Multiple of 39974 and 39994