What is the Greatest Common Factor of 91920 and 91930?

Greatest common factor (GCF) of 91920 and 91930 is 10.

GCF(91920,91930) = 10

We will now calculate the prime factors of 91920 and 91930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91920 and 91930.

How to find the GCF of 91920 and 91930?

We will first find the prime factorization of 91920 and 91930. After we will calculate the factors of 91920 and 91930 and find the biggest common factor number .

Step-1: Prime Factorization of 91920

Prime factors of 91920 are 2, 3, 5, 383. Prime factorization of 91920 in exponential form is:

91920 = 2⁴ × 3¹ × 5¹ × 383¹

Step-2: Prime Factorization of 91930

Prime factors of 91930 are 2, 5, 29, 317. Prime factorization of 91930 in exponential form is:

91930 = 2¹ × 5¹ × 29¹ × 317¹

Step-3: Factors of 91920

List of positive integer factors of 91920 that divides 91920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 383, 766, 1149, 1532, 1915, 2298, 3064, 3830, 4596, 5745, 6128, 7660, 9192, 11490, 15320, 18384, 22980, 30640, 45960

Step-4: Factors of 91930

List of positive integer factors of 91930 that divides 91920 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 317, 634, 1585, 3170, 9193, 18386, 45965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91920 and 91930. The biggest common factor number is the GCF number.
So the greatest common factor 91920 and 91930 is 10.

Also check out the Least Common Multiple of 91920 and 91930