What is the Greatest Common Factor of 48986 and 49003?

Greatest common factor (GCF) of 48986 and 49003 is 1.

GCF(48986,49003) = 1

We will now calculate the prime factors of 48986 and 49003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48986 and 49003.

How to find the GCF of 48986 and 49003?

We will first find the prime factorization of 48986 and 49003. After we will calculate the factors of 48986 and 49003 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 49003

Prime factors of 49003 are 49003. Prime factorization of 49003 in exponential form is:

49003 = 49003¹

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 49003

List of positive integer factors of 49003 that divides 48986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48986 and 49003. The biggest common factor number is the GCF number.
So the greatest common factor 48986 and 49003 is 1.

Also check out the Least Common Multiple of 48986 and 49003