What is the Greatest Common Factor of 4974 and 4982?

Greatest common factor (GCF) of 4974 and 4982 is 2.

GCF(4974,4982) = 2

We will now calculate the prime factors of 4974 and 4982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4974 and 4982.

How to find the GCF of 4974 and 4982?

We will first find the prime factorization of 4974 and 4982. After we will calculate the factors of 4974 and 4982 and find the biggest common factor number .

Step-1: Prime Factorization of 4974

Prime factors of 4974 are 2, 3, 829. Prime factorization of 4974 in exponential form is:

4974 = 2¹ × 3¹ × 829¹

Step-2: Prime Factorization of 4982

Prime factors of 4982 are 2, 47, 53. Prime factorization of 4982 in exponential form is:

4982 = 2¹ × 47¹ × 53¹

Step-3: Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1, 2, 3, 6, 829, 1658, 2487

Step-4: Factors of 4982

List of positive integer factors of 4982 that divides 4974 without a remainder.

1, 2, 47, 53, 94, 106, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4974 and 4982. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4982 is 2.

Also check out the Least Common Multiple of 4974 and 4982