What is the Greatest Common Factor of 48986 and 49006?

Greatest common factor (GCF) of 48986 and 49006 is 2.

GCF(48986,49006) = 2

We will now calculate the prime factors of 48986 and 49006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48986 and 49006.

How to find the GCF of 48986 and 49006?

We will first find the prime factorization of 48986 and 49006. After we will calculate the factors of 48986 and 49006 and find the biggest common factor number .

Step-1: Prime Factorization of 48986

Prime factors of 48986 are 2, 7, 3499. Prime factorization of 48986 in exponential form is:

48986 = 2¹ × 7¹ × 3499¹

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 48986

List of positive integer factors of 48986 that divides 48986 without a remainder.

1, 2, 7, 14, 3499, 6998, 24493

Step-4: Factors of 49006

List of positive integer factors of 49006 that divides 48986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48986 and 49006. The biggest common factor number is the GCF number.
So the greatest common factor 48986 and 49006 is 2.

Also check out the Least Common Multiple of 48986 and 49006