What is the Greatest Common Factor of 40911 and 40924?

Greatest common factor (GCF) of 40911 and 40924 is 13.

GCF(40911,40924) = 13

We will now calculate the prime factors of 40911 and 40924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40911 and 40924.

How to find the GCF of 40911 and 40924?

We will first find the prime factorization of 40911 and 40924. After we will calculate the factors of 40911 and 40924 and find the biggest common factor number .

Step-1: Prime Factorization of 40911

Prime factors of 40911 are 3, 13, 1049. Prime factorization of 40911 in exponential form is:

40911 = 3¹ × 13¹ × 1049¹

Step-2: Prime Factorization of 40924

Prime factors of 40924 are 2, 13, 787. Prime factorization of 40924 in exponential form is:

40924 = 2² × 13¹ × 787¹

Step-3: Factors of 40911

List of positive integer factors of 40911 that divides 40911 without a remainder.

1, 3, 13, 39, 1049, 3147, 13637

Step-4: Factors of 40924

List of positive integer factors of 40924 that divides 40911 without a remainder.

1, 2, 4, 13, 26, 52, 787, 1574, 3148, 10231, 20462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40911 and 40924. The biggest common factor number is the GCF number.
So the greatest common factor 40911 and 40924 is 13.

Also check out the Least Common Multiple of 40911 and 40924