What is the Greatest Common Factor of 40909 and 40920?

Greatest common factor (GCF) of 40909 and 40920 is 11.

GCF(40909,40920) = 11

We will now calculate the prime factors of 40909 and 40920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40909 and 40920.

How to find the GCF of 40909 and 40920?

We will first find the prime factorization of 40909 and 40920. After we will calculate the factors of 40909 and 40920 and find the biggest common factor number .

Step-1: Prime Factorization of 40909

Prime factors of 40909 are 11, 3719. Prime factorization of 40909 in exponential form is:

40909 = 11¹ × 3719¹

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 40909

List of positive integer factors of 40909 that divides 40909 without a remainder.

1, 11, 3719

Step-4: Factors of 40920

List of positive integer factors of 40920 that divides 40909 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 40909 and 40920. The biggest common factor number is the GCF number.
So the greatest common factor 40909 and 40920 is 11.

Also check out the Least Common Multiple of 40909 and 40920