What is the Greatest Common Factor of 48992 and 49006?

Greatest common factor (GCF) of 48992 and 49006 is 2.

GCF(48992,49006) = 2

We will now calculate the prime factors of 48992 and 49006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48992 and 49006.

How to find the GCF of 48992 and 49006?

We will first find the prime factorization of 48992 and 49006. After we will calculate the factors of 48992 and 49006 and find the biggest common factor number .

Step-1: Prime Factorization of 48992

Prime factors of 48992 are 2, 1531. Prime factorization of 48992 in exponential form is:

48992 = 2⁵ × 1531¹

Step-2: Prime Factorization of 49006

Prime factors of 49006 are 2, 107, 229. Prime factorization of 49006 in exponential form is:

49006 = 2¹ × 107¹ × 229¹

Step-3: Factors of 48992

List of positive integer factors of 48992 that divides 48992 without a remainder.

1, 2, 4, 8, 16, 32, 1531, 3062, 6124, 12248, 24496

Step-4: Factors of 49006

List of positive integer factors of 49006 that divides 48992 without a remainder.

1, 2, 107, 214, 229, 458, 24503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48992 and 49006. The biggest common factor number is the GCF number.
So the greatest common factor 48992 and 49006 is 2.

Also check out the Least Common Multiple of 48992 and 49006