What is the Greatest Common Factor of 91920 and 91932?

Greatest common factor (GCF) of 91920 and 91932 is 12.

GCF(91920,91932) = 12

We will now calculate the prime factors of 91920 and 91932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91920 and 91932.

How to find the GCF of 91920 and 91932?

We will first find the prime factorization of 91920 and 91932. After we will calculate the factors of 91920 and 91932 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 91932

Prime factors of 91932 are 2, 3, 47, 163. Prime factorization of 91932 in exponential form is:

91932 = 2² × 3¹ × 47¹ × 163¹

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 91932

List of positive integer factors of 91932 that divides 91920 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 163, 188, 282, 326, 489, 564, 652, 978, 1956, 7661, 15322, 22983, 30644, 45966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91920 and 91932. The biggest common factor number is the GCF number.
So the greatest common factor 91920 and 91932 is 12.

Also check out the Least Common Multiple of 91920 and 91932