What is the Greatest Common Factor of 40920 and 40938?

Greatest common factor (GCF) of 40920 and 40938 is 6.

GCF(40920,40938) = 6

We will now calculate the prime factors of 40920 and 40938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40920 and 40938.

How to find the GCF of 40920 and 40938?

We will first find the prime factorization of 40920 and 40938. After we will calculate the factors of 40920 and 40938 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 40938

Prime factors of 40938 are 2, 3, 6823. Prime factorization of 40938 in exponential form is:

40938 = 2¹ × 3¹ × 6823¹

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 40938

List of positive integer factors of 40938 that divides 40920 without a remainder.

1, 2, 3, 6, 6823, 13646, 20469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40920 and 40938. The biggest common factor number is the GCF number.
So the greatest common factor 40920 and 40938 is 6.

Also check out the Least Common Multiple of 40920 and 40938