What is the Greatest Common Factor of 48992 and 49012?

Greatest common factor (GCF) of 48992 and 49012 is 4.

GCF(48992,49012) = 4

We will now calculate the prime factors of 48992 and 49012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48992 and 49012.

How to find the GCF of 48992 and 49012?

We will first find the prime factorization of 48992 and 49012. After we will calculate the factors of 48992 and 49012 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 49012

Prime factors of 49012 are 2, 12253. Prime factorization of 49012 in exponential form is:

49012 = 2² × 12253¹

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 49012

List of positive integer factors of 49012 that divides 48992 without a remainder.

1, 2, 4, 12253, 24506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48992 and 49012. The biggest common factor number is the GCF number.
So the greatest common factor 48992 and 49012 is 4.

Also check out the Least Common Multiple of 48992 and 49012