What is the Greatest Common Factor of 49968 and 49982?

Greatest common factor (GCF) of 49968 and 49982 is 2.

GCF(49968,49982) = 2

We will now calculate the prime factors of 49968 and 49982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49968 and 49982.

How to find the GCF of 49968 and 49982?

We will first find the prime factorization of 49968 and 49982. After we will calculate the factors of 49968 and 49982 and find the biggest common factor number .

Step-1: Prime Factorization of 49968

Prime factors of 49968 are 2, 3, 347. Prime factorization of 49968 in exponential form is:

49968 = 2⁴ × 3² × 347¹

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 49968

List of positive integer factors of 49968 that divides 49968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 5552, 6246, 8328, 12492, 16656, 24984

Step-4: Factors of 49982

List of positive integer factors of 49982 that divides 49968 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49968 and 49982. The biggest common factor number is the GCF number.
So the greatest common factor 49968 and 49982 is 2.

Also check out the Least Common Multiple of 49968 and 49982