What is the Greatest Common Factor of 3976 and 3983?

Greatest common factor (GCF) of 3976 and 3983 is 7.

GCF(3976,3983) = 7

We will now calculate the prime factors of 3976 and 3983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3976 and 3983.

How to find the GCF of 3976 and 3983?

We will first find the prime factorization of 3976 and 3983. After we will calculate the factors of 3976 and 3983 and find the biggest common factor number .

Step-1: Prime Factorization of 3976

Prime factors of 3976 are 2, 7, 71. Prime factorization of 3976 in exponential form is:

3976 = 2³ × 7¹ × 71¹

Step-2: Prime Factorization of 3983

Prime factors of 3983 are 7, 569. Prime factorization of 3983 in exponential form is:

3983 = 7¹ × 569¹

Step-3: Factors of 3976

List of positive integer factors of 3976 that divides 3976 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988

Step-4: Factors of 3983

List of positive integer factors of 3983 that divides 3976 without a remainder.

1, 7, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3976 and 3983. The biggest common factor number is the GCF number.
So the greatest common factor 3976 and 3983 is 7.

Also check out the Least Common Multiple of 3976 and 3983