What is the Greatest Common Factor of 2907 and 2919?

Greatest common factor (GCF) of 2907 and 2919 is 3.

GCF(2907,2919) = 3

We will now calculate the prime factors of 2907 and 2919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2907 and 2919.

How to find the GCF of 2907 and 2919?

We will first find the prime factorization of 2907 and 2919. After we will calculate the factors of 2907 and 2919 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 2919

Prime factors of 2919 are 3, 7, 139. Prime factorization of 2919 in exponential form is:

2919 = 3¹ × 7¹ × 139¹

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 2919

List of positive integer factors of 2919 that divides 2907 without a remainder.

1, 3, 7, 21, 139, 417, 973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2907 and 2919. The biggest common factor number is the GCF number.
So the greatest common factor 2907 and 2919 is 3.

Also check out the Least Common Multiple of 2907 and 2919