What is the Greatest Common Factor of 49974 and 49982?

Greatest common factor (GCF) of 49974 and 49982 is 2.

GCF(49974,49982) = 2

We will now calculate the prime factors of 49974 and 49982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49974 and 49982.

How to find the GCF of 49974 and 49982?

We will first find the prime factorization of 49974 and 49982. After we will calculate the factors of 49974 and 49982 and find the biggest common factor number .

Step-1: Prime Factorization of 49974

Prime factors of 49974 are 2, 3, 8329. Prime factorization of 49974 in exponential form is:

49974 = 2¹ × 3¹ × 8329¹

Step-2: Prime Factorization of 49982

Prime factors of 49982 are 2, 67, 373. Prime factorization of 49982 in exponential form is:

49982 = 2¹ × 67¹ × 373¹

Step-3: Factors of 49974

List of positive integer factors of 49974 that divides 49974 without a remainder.

1, 2, 3, 6, 8329, 16658, 24987

Step-4: Factors of 49982

List of positive integer factors of 49982 that divides 49974 without a remainder.

1, 2, 67, 134, 373, 746, 24991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49974 and 49982. The biggest common factor number is the GCF number.
So the greatest common factor 49974 and 49982 is 2.

Also check out the Least Common Multiple of 49974 and 49982