What is the Greatest Common Factor of 3962 and 3974?

Greatest common factor (GCF) of 3962 and 3974 is 2.

GCF(3962,3974) = 2

We will now calculate the prime factors of 3962 and 3974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3962 and 3974.

How to find the GCF of 3962 and 3974?

We will first find the prime factorization of 3962 and 3974. After we will calculate the factors of 3962 and 3974 and find the biggest common factor number .

Step-1: Prime Factorization of 3962

Prime factors of 3962 are 2, 7, 283. Prime factorization of 3962 in exponential form is:

3962 = 2¹ × 7¹ × 283¹

Step-2: Prime Factorization of 3974

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

3974 = 2¹ × 1987¹

Step-3: Factors of 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1, 2, 7, 14, 283, 566, 1981

Step-4: Factors of 3974

List of positive integer factors of 3974 that divides 3962 without a remainder.

1, 2, 1987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3962 and 3974. The biggest common factor number is the GCF number.
So the greatest common factor 3962 and 3974 is 2.

Also check out the Least Common Multiple of 3962 and 3974