What is the Greatest Common Factor of 3974 and 3980?

Greatest common factor (GCF) of 3974 and 3980 is 2.

GCF(3974,3980) = 2

We will now calculate the prime factors of 3974 and 3980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3974 and 3980.

How to find the GCF of 3974 and 3980?

We will first find the prime factorization of 3974 and 3980. After we will calculate the factors of 3974 and 3980 and find the biggest common factor number .

Step-1: Prime Factorization of 3974

Prime factors of 3974 are 2, 1987. Prime factorization of 3974 in exponential form is:

3974 = 2¹ × 1987¹

Step-2: Prime Factorization of 3980

Prime factors of 3980 are 2, 5, 199. Prime factorization of 3980 in exponential form is:

3980 = 2² × 5¹ × 199¹

Step-3: Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1, 2, 1987

Step-4: Factors of 3980

List of positive integer factors of 3980 that divides 3974 without a remainder.

1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3974 and 3980. The biggest common factor number is the GCF number.
So the greatest common factor 3974 and 3980 is 2.

Also check out the Least Common Multiple of 3974 and 3980