What is the Greatest Common Factor of 40688 and 40708?

Greatest common factor (GCF) of 40688 and 40708 is 4.

GCF(40688,40708) = 4

We will now calculate the prime factors of 40688 and 40708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40688 and 40708.

How to find the GCF of 40688 and 40708?

We will first find the prime factorization of 40688 and 40708. After we will calculate the factors of 40688 and 40708 and find the biggest common factor number .

Step-1: Prime Factorization of 40688

Prime factors of 40688 are 2, 2543. Prime factorization of 40688 in exponential form is:

40688 = 2⁴ × 2543¹

Step-2: Prime Factorization of 40708

Prime factors of 40708 are 2, 10177. Prime factorization of 40708 in exponential form is:

40708 = 2² × 10177¹

Step-3: Factors of 40688

List of positive integer factors of 40688 that divides 40688 without a remainder.

1, 2, 4, 8, 16, 2543, 5086, 10172, 20344

Step-4: Factors of 40708

List of positive integer factors of 40708 that divides 40688 without a remainder.

1, 2, 4, 10177, 20354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40688 and 40708. The biggest common factor number is the GCF number.
So the greatest common factor 40688 and 40708 is 4.

Also check out the Least Common Multiple of 40688 and 40708