What is the Greatest Common Factor of 2907 and 2916?

Greatest common factor (GCF) of 2907 and 2916 is 9.

GCF(2907,2916) = 9

We will now calculate the prime factors of 2907 and 2916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2907 and 2916.

How to find the GCF of 2907 and 2916?

We will first find the prime factorization of 2907 and 2916. After we will calculate the factors of 2907 and 2916 and find the biggest common factor number .

Step-1: Prime Factorization of 2907

Prime factors of 2907 are 3, 17, 19. Prime factorization of 2907 in exponential form is:

2907 = 3² × 17¹ × 19¹

Step-2: Prime Factorization of 2916

Prime factors of 2916 are 2, 3. Prime factorization of 2916 in exponential form is:

2916 = 2² × 3⁶

Step-3: Factors of 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969

Step-4: Factors of 2916

List of positive integer factors of 2916 that divides 2907 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2907 and 2916. The biggest common factor number is the GCF number.
So the greatest common factor 2907 and 2916 is 9.

Also check out the Least Common Multiple of 2907 and 2916