What is the Greatest Common Factor of 40932 and 40940?

Greatest common factor (GCF) of 40932 and 40940 is 4.

GCF(40932,40940) = 4

We will now calculate the prime factors of 40932 and 40940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40932 and 40940.

How to find the GCF of 40932 and 40940?

We will first find the prime factorization of 40932 and 40940. After we will calculate the factors of 40932 and 40940 and find the biggest common factor number .

Step-1: Prime Factorization of 40932

Prime factors of 40932 are 2, 3, 379. Prime factorization of 40932 in exponential form is:

40932 = 2² × 3³ × 379¹

Step-2: Prime Factorization of 40940

Prime factors of 40940 are 2, 5, 23, 89. Prime factorization of 40940 in exponential form is:

40940 = 2² × 5¹ × 23¹ × 89¹

Step-3: Factors of 40932

List of positive integer factors of 40932 that divides 40932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 379, 758, 1137, 1516, 2274, 3411, 4548, 6822, 10233, 13644, 20466

Step-4: Factors of 40940

List of positive integer factors of 40940 that divides 40932 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 89, 92, 115, 178, 230, 356, 445, 460, 890, 1780, 2047, 4094, 8188, 10235, 20470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40932 and 40940. The biggest common factor number is the GCF number.
So the greatest common factor 40932 and 40940 is 4.

Also check out the Least Common Multiple of 40932 and 40940