What is the Greatest Common Factor of 2945 and 2950?

Greatest common factor (GCF) of 2945 and 2950 is 5.

GCF(2945,2950) = 5

We will now calculate the prime factors of 2945 and 2950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2945 and 2950.

How to find the GCF of 2945 and 2950?

We will first find the prime factorization of 2945 and 2950. After we will calculate the factors of 2945 and 2950 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 2950

Prime factors of 2950 are 2, 5, 59. Prime factorization of 2950 in exponential form is:

2950 = 2¹ × 5² × 59¹

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 2950

List of positive integer factors of 2950 that divides 2945 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2945 and 2950. The biggest common factor number is the GCF number.
So the greatest common factor 2945 and 2950 is 5.

Also check out the Least Common Multiple of 2945 and 2950