What is the Greatest Common Factor of 40914 and 40924?

Greatest common factor (GCF) of 40914 and 40924 is 2.

GCF(40914,40924) = 2

We will now calculate the prime factors of 40914 and 40924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40914 and 40924.

How to find the GCF of 40914 and 40924?

We will first find the prime factorization of 40914 and 40924. After we will calculate the factors of 40914 and 40924 and find the biggest common factor number .

Step-1: Prime Factorization of 40914

Prime factors of 40914 are 2, 3, 2273. Prime factorization of 40914 in exponential form is:

40914 = 2¹ × 3² × 2273¹

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 40914

List of positive integer factors of 40914 that divides 40914 without a remainder.

1, 2, 3, 6, 9, 18, 2273, 4546, 6819, 13638, 20457

Step-4: Factors of 40924

List of positive integer factors of 40924 that divides 40914 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 40914 and 40924. The biggest common factor number is the GCF number.
So the greatest common factor 40914 and 40924 is 2.

Also check out the Least Common Multiple of 40914 and 40924