What is the Greatest Common Factor of 4974 and 4984?

Greatest common factor (GCF) of 4974 and 4984 is 2.

GCF(4974,4984) = 2

We will now calculate the prime factors of 4974 and 4984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4974 and 4984.

How to find the GCF of 4974 and 4984?

We will first find the prime factorization of 4974 and 4984. After we will calculate the factors of 4974 and 4984 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 4984

Prime factors of 4984 are 2, 7, 89. Prime factorization of 4984 in exponential form is:

4984 = 2³ × 7¹ × 89¹

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 4984

List of positive integer factors of 4984 that divides 4974 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4974 and 4984. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4984 is 2.

Also check out the Least Common Multiple of 4974 and 4984