What is the Greatest Common Factor of 7920 and 7930?

Greatest common factor (GCF) of 7920 and 7930 is 10.

GCF(7920,7930) = 10

We will now calculate the prime factors of 7920 and 7930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7920 and 7930.

How to find the GCF of 7920 and 7930?

We will first find the prime factorization of 7920 and 7930. After we will calculate the factors of 7920 and 7930 and find the biggest common factor number .

Step-1: Prime Factorization of 7920

Prime factors of 7920 are 2, 3, 5, 11. Prime factorization of 7920 in exponential form is:

7920 = 2⁴ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 7930

Prime factors of 7930 are 2, 5, 13, 61. Prime factorization of 7930 in exponential form is:

7930 = 2¹ × 5¹ × 13¹ × 61¹

Step-3: Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960

Step-4: Factors of 7930

List of positive integer factors of 7930 that divides 7920 without a remainder.

1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7920 and 7930. The biggest common factor number is the GCF number.
So the greatest common factor 7920 and 7930 is 10.

Also check out the Least Common Multiple of 7920 and 7930