What is the Greatest Common Factor of 2945 and 2964?

Greatest common factor (GCF) of 2945 and 2964 is 19.

GCF(2945,2964) = 19

We will now calculate the prime factors of 2945 and 2964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2945 and 2964.

How to find the GCF of 2945 and 2964?

We will first find the prime factorization of 2945 and 2964. After we will calculate the factors of 2945 and 2964 and find the biggest common factor number .

Step-1: Prime Factorization of 2945

Prime factors of 2945 are 5, 19, 31. Prime factorization of 2945 in exponential form is:

2945 = 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 2964

Prime factors of 2964 are 2, 3, 13, 19. Prime factorization of 2964 in exponential form is:

2964 = 2² × 3¹ × 13¹ × 19¹

Step-3: Factors of 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1, 5, 19, 31, 95, 155, 589

Step-4: Factors of 2964

List of positive integer factors of 2964 that divides 2945 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2945 and 2964. The biggest common factor number is the GCF number.
So the greatest common factor 2945 and 2964 is 19.

Also check out the Least Common Multiple of 2945 and 2964