What is the Greatest Common Factor of 91900 and 91920?

Greatest common factor (GCF) of 91900 and 91920 is 20.

GCF(91900,91920) = 20

We will now calculate the prime factors of 91900 and 91920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91900 and 91920.

How to find the GCF of 91900 and 91920?

We will first find the prime factorization of 91900 and 91920. After we will calculate the factors of 91900 and 91920 and find the biggest common factor number .

Step-1: Prime Factorization of 91900

Prime factors of 91900 are 2, 5, 919. Prime factorization of 91900 in exponential form is:

91900 = 2² × 5² × 919¹

Step-2: 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-3: Factors of 91900

List of positive integer factors of 91900 that divides 91900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 919, 1838, 3676, 4595, 9190, 18380, 22975, 45950

Step-4: Factors of 91920

List of positive integer factors of 91920 that divides 91900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91900 and 91920. The biggest common factor number is the GCF number.
So the greatest common factor 91900 and 91920 is 20.

Also check out the Least Common Multiple of 91900 and 91920