What is the Greatest Common Factor of 40920 and 40932?

Greatest common factor (GCF) of 40920 and 40932 is 12.

GCF(40920,40932) = 12

We will now calculate the prime factors of 40920 and 40932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40920 and 40932.

How to find the GCF of 40920 and 40932?

We will first find the prime factorization of 40920 and 40932. After we will calculate the factors of 40920 and 40932 and find the biggest common factor number .

Step-1: Prime Factorization of 40920

Prime factors of 40920 are 2, 3, 5, 11, 31. Prime factorization of 40920 in exponential form is:

40920 = 2³ × 3¹ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 40932

Prime factors of 40932 are 2, 3, 379. Prime factorization of 40932 in exponential form is:

40932 = 2² × 3³ × 379¹

Step-3: Factors of 40920

List of positive integer factors of 40920 that divides 40920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 31, 33, 40, 44, 55, 60, 62, 66, 88, 93, 110, 120, 124, 132, 155, 165, 186, 220, 248, 264, 310, 330, 341, 372, 440, 465, 620, 660, 682, 744, 930, 1023, 1240, 1320, 1364, 1705, 1860, 2046, 2728, 3410, 3720, 4092, 5115, 6820, 8184, 10230, 13640, 20460

Step-4: Factors of 40932

List of positive integer factors of 40932 that divides 40920 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 379, 758, 1137, 1516, 2274, 3411, 4548, 6822, 10233, 13644, 20466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40920 and 40932. The biggest common factor number is the GCF number.
So the greatest common factor 40920 and 40932 is 12.

Also check out the Least Common Multiple of 40920 and 40932