What is the Greatest Common Factor of 2920 and 2930?

Greatest common factor (GCF) of 2920 and 2930 is 10.

GCF(2920,2930) = 10

We will now calculate the prime factors of 2920 and 2930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2920 and 2930.

How to find the GCF of 2920 and 2930?

We will first find the prime factorization of 2920 and 2930. After we will calculate the factors of 2920 and 2930 and find the biggest common factor number .

Step-1: Prime Factorization of 2920

Prime factors of 2920 are 2, 5, 73. Prime factorization of 2920 in exponential form is:

2920 = 2³ × 5¹ × 73¹

Step-2: Prime Factorization of 2930

Prime factors of 2930 are 2, 5, 293. Prime factorization of 2930 in exponential form is:

2930 = 2¹ × 5¹ × 293¹

Step-3: Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460

Step-4: Factors of 2930

List of positive integer factors of 2930 that divides 2920 without a remainder.

1, 2, 5, 10, 293, 586, 1465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2920 and 2930. The biggest common factor number is the GCF number.
So the greatest common factor 2920 and 2930 is 10.

Also check out the Least Common Multiple of 2920 and 2930