What is the Greatest Common Factor of 40904 and 40920?

Greatest common factor (GCF) of 40904 and 40920 is 8.

GCF(40904,40920) = 8

We will now calculate the prime factors of 40904 and 40920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40904 and 40920.

How to find the GCF of 40904 and 40920?

We will first find the prime factorization of 40904 and 40920. After we will calculate the factors of 40904 and 40920 and find the biggest common factor number .

Step-1: Prime Factorization of 40904

Prime factors of 40904 are 2, 5113. Prime factorization of 40904 in exponential form is:

40904 = 2³ × 5113¹

Step-2: 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-3: Factors of 40904

List of positive integer factors of 40904 that divides 40904 without a remainder.

1, 2, 4, 8, 5113, 10226, 20452

Step-4: Factors of 40920

List of positive integer factors of 40920 that divides 40904 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40904 and 40920. The biggest common factor number is the GCF number.
So the greatest common factor 40904 and 40920 is 8.

Also check out the Least Common Multiple of 40904 and 40920