What is the Greatest Common Factor of 40672 and 40685?

Greatest common factor (GCF) of 40672 and 40685 is 1.

GCF(40672,40685) = 1

We will now calculate the prime factors of 40672 and 40685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40672 and 40685.

How to find the GCF of 40672 and 40685?

We will first find the prime factorization of 40672 and 40685. After we will calculate the factors of 40672 and 40685 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 40685

Prime factors of 40685 are 5, 79, 103. Prime factorization of 40685 in exponential form is:

40685 = 5¹ × 79¹ × 103¹

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 40685

List of positive integer factors of 40685 that divides 40672 without a remainder.

1, 5, 79, 103, 395, 515, 8137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40672 and 40685. The biggest common factor number is the GCF number.
So the greatest common factor 40672 and 40685 is 1.

Also check out the Least Common Multiple of 40672 and 40685