What is the Greatest Common Factor of 2978 and 2982?

Greatest common factor (GCF) of 2978 and 2982 is 2.

GCF(2978,2982) = 2

We will now calculate the prime factors of 2978 and 2982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2978 and 2982.

How to find the GCF of 2978 and 2982?

We will first find the prime factorization of 2978 and 2982. After we will calculate the factors of 2978 and 2982 and find the biggest common factor number .

Step-1: Prime Factorization of 2978

Prime factors of 2978 are 2, 1489. Prime factorization of 2978 in exponential form is:

2978 = 2¹ × 1489¹

Step-2: Prime Factorization of 2982

Prime factors of 2982 are 2, 3, 7, 71. Prime factorization of 2982 in exponential form is:

2982 = 2¹ × 3¹ × 7¹ × 71¹

Step-3: Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1, 2, 1489

Step-4: Factors of 2982

List of positive integer factors of 2982 that divides 2978 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2978 and 2982. The biggest common factor number is the GCF number.
So the greatest common factor 2978 and 2982 is 2.

Also check out the Least Common Multiple of 2978 and 2982