What is the Greatest Common Factor of 40712 and 40724?

Greatest common factor (GCF) of 40712 and 40724 is 4.

GCF(40712,40724) = 4

We will now calculate the prime factors of 40712 and 40724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40712 and 40724.

How to find the GCF of 40712 and 40724?

We will first find the prime factorization of 40712 and 40724. After we will calculate the factors of 40712 and 40724 and find the biggest common factor number .

Step-1: Prime Factorization of 40712

Prime factors of 40712 are 2, 7, 727. Prime factorization of 40712 in exponential form is:

40712 = 2³ × 7¹ × 727¹

Step-2: Prime Factorization of 40724

Prime factors of 40724 are 2, 10181. Prime factorization of 40724 in exponential form is:

40724 = 2² × 10181¹

Step-3: Factors of 40712

List of positive integer factors of 40712 that divides 40712 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 727, 1454, 2908, 5089, 5816, 10178, 20356

Step-4: Factors of 40724

List of positive integer factors of 40724 that divides 40712 without a remainder.

1, 2, 4, 10181, 20362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40712 and 40724. The biggest common factor number is the GCF number.
So the greatest common factor 40712 and 40724 is 4.

Also check out the Least Common Multiple of 40712 and 40724