What is the Greatest Common Factor of 48986 and 49004?

Greatest common factor (GCF) of 48986 and 49004 is 2.

GCF(48986,49004) = 2

We will now calculate the prime factors of 48986 and 49004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48986 and 49004.

How to find the GCF of 48986 and 49004?

We will first find the prime factorization of 48986 and 49004. After we will calculate the factors of 48986 and 49004 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 49004

Prime factors of 49004 are 2, 12251. Prime factorization of 49004 in exponential form is:

49004 = 2² × 12251¹

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 49004

List of positive integer factors of 49004 that divides 48986 without a remainder.

1, 2, 4, 12251, 24502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48986 and 49004. The biggest common factor number is the GCF number.
So the greatest common factor 48986 and 49004 is 2.

Also check out the Least Common Multiple of 48986 and 49004