What is the Greatest Common Factor of 40920 and 40934?

Greatest common factor (GCF) of 40920 and 40934 is 2.

GCF(40920,40934) = 2

We will now calculate the prime factors of 40920 and 40934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40920 and 40934.

How to find the GCF of 40920 and 40934?

We will first find the prime factorization of 40920 and 40934. After we will calculate the factors of 40920 and 40934 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 40934

Prime factors of 40934 are 2, 97, 211. Prime factorization of 40934 in exponential form is:

40934 = 2¹ × 97¹ × 211¹

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 40934

List of positive integer factors of 40934 that divides 40920 without a remainder.

1, 2, 97, 194, 211, 422, 20467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40920 and 40934. The biggest common factor number is the GCF number.
So the greatest common factor 40920 and 40934 is 2.

Also check out the Least Common Multiple of 40920 and 40934