What is the Greatest Common Factor of 2996 and 3010?

Greatest common factor (GCF) of 2996 and 3010 is 14.

GCF(2996,3010) = 14

We will now calculate the prime factors of 2996 and 3010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2996 and 3010.

How to find the GCF of 2996 and 3010?

We will first find the prime factorization of 2996 and 3010. After we will calculate the factors of 2996 and 3010 and find the biggest common factor number .

Step-1: Prime Factorization of 2996

Prime factors of 2996 are 2, 7, 107. Prime factorization of 2996 in exponential form is:

2996 = 2² × 7¹ × 107¹

Step-2: Prime Factorization of 3010

Prime factors of 3010 are 2, 5, 7, 43. Prime factorization of 3010 in exponential form is:

3010 = 2¹ × 5¹ × 7¹ × 43¹

Step-3: Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498

Step-4: Factors of 3010

List of positive integer factors of 3010 that divides 2996 without a remainder.

1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2996 and 3010. The biggest common factor number is the GCF number.
So the greatest common factor 2996 and 3010 is 14.

Also check out the Least Common Multiple of 2996 and 3010