What is the Greatest Common Factor of 40712 and 40732?

Greatest common factor (GCF) of 40712 and 40732 is 4.

GCF(40712,40732) = 4

We will now calculate the prime factors of 40712 and 40732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40712 and 40732.

How to find the GCF of 40712 and 40732?

We will first find the prime factorization of 40712 and 40732. After we will calculate the factors of 40712 and 40732 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 40732

Prime factors of 40732 are 2, 17, 599. Prime factorization of 40732 in exponential form is:

40732 = 2² × 17¹ × 599¹

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 40732

List of positive integer factors of 40732 that divides 40712 without a remainder.

1, 2, 4, 17, 34, 68, 599, 1198, 2396, 10183, 20366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40712 and 40732. The biggest common factor number is the GCF number.
So the greatest common factor 40712 and 40732 is 4.

Also check out the Least Common Multiple of 40712 and 40732