What is the Greatest Common Factor of 30980 and 30986?

Greatest common factor (GCF) of 30980 and 30986 is 2.

GCF(30980,30986) = 2

We will now calculate the prime factors of 30980 and 30986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30980 and 30986.

How to find the GCF of 30980 and 30986?

We will first find the prime factorization of 30980 and 30986. After we will calculate the factors of 30980 and 30986 and find the biggest common factor number .

Step-1: Prime Factorization of 30980

Prime factors of 30980 are 2, 5, 1549. Prime factorization of 30980 in exponential form is:

30980 = 2² × 5¹ × 1549¹

Step-2: Prime Factorization of 30986

Prime factors of 30986 are 2, 15493. Prime factorization of 30986 in exponential form is:

30986 = 2¹ × 15493¹

Step-3: Factors of 30980

List of positive integer factors of 30980 that divides 30980 without a remainder.

1, 2, 4, 5, 10, 20, 1549, 3098, 6196, 7745, 15490

Step-4: Factors of 30986

List of positive integer factors of 30986 that divides 30980 without a remainder.

1, 2, 15493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30980 and 30986. The biggest common factor number is the GCF number.
So the greatest common factor 30980 and 30986 is 2.

Also check out the Least Common Multiple of 30980 and 30986