What is the Greatest Common Factor of 40920 and 40931?

Greatest common factor (GCF) of 40920 and 40931 is 11.

GCF(40920,40931) = 11

We will now calculate the prime factors of 40920 and 40931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40920 and 40931.

How to find the GCF of 40920 and 40931?

We will first find the prime factorization of 40920 and 40931. After we will calculate the factors of 40920 and 40931 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 40931

Prime factors of 40931 are 11, 61. Prime factorization of 40931 in exponential form is:

40931 = 11¹ × 61²

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 40931

List of positive integer factors of 40931 that divides 40920 without a remainder.

1, 11, 61, 671, 3721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40920 and 40931. The biggest common factor number is the GCF number.
So the greatest common factor 40920 and 40931 is 11.

Also check out the Least Common Multiple of 40920 and 40931