What is the Greatest Common Factor of 48980 and 48986?

Greatest common factor (GCF) of 48980 and 48986 is 2.

GCF(48980,48986) = 2

We will now calculate the prime factors of 48980 and 48986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48980 and 48986.

How to find the GCF of 48980 and 48986?

We will first find the prime factorization of 48980 and 48986. After we will calculate the factors of 48980 and 48986 and find the biggest common factor number .

Step-1: Prime Factorization of 48980

Prime factors of 48980 are 2, 5, 31, 79. Prime factorization of 48980 in exponential form is:

48980 = 2² × 5¹ × 31¹ × 79¹

Step-2: 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-3: Factors of 48980

List of positive integer factors of 48980 that divides 48980 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 79, 124, 155, 158, 310, 316, 395, 620, 790, 1580, 2449, 4898, 9796, 12245, 24490

Step-4: Factors of 48986

List of positive integer factors of 48986 that divides 48980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48980 and 48986. The biggest common factor number is the GCF number.
So the greatest common factor 48980 and 48986 is 2.

Also check out the Least Common Multiple of 48980 and 48986