What is the Greatest Common Factor of 40672 and 40688?

Greatest common factor (GCF) of 40672 and 40688 is 16.

GCF(40672,40688) = 16

We will now calculate the prime factors of 40672 and 40688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40672 and 40688.

How to find the GCF of 40672 and 40688?

We will first find the prime factorization of 40672 and 40688. After we will calculate the factors of 40672 and 40688 and find the biggest common factor number .

Step-1: Prime Factorization of 40672

Prime factors of 40672 are 2, 31, 41. Prime factorization of 40672 in exponential form is:

40672 = 2⁵ × 31¹ × 41¹

Step-2: Prime Factorization of 40688

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

40688 = 2⁴ × 2543¹

Step-3: Factors of 40672

List of positive integer factors of 40672 that divides 40672 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336

Step-4: Factors of 40688

List of positive integer factors of 40688 that divides 40672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40672 and 40688. The biggest common factor number is the GCF number.
So the greatest common factor 40672 and 40688 is 16.

Also check out the Least Common Multiple of 40672 and 40688