What is the Greatest Common Factor of 40657 and 40664?

Greatest common factor (GCF) of 40657 and 40664 is 1.

GCF(40657,40664) = 1

We will now calculate the prime factors of 40657 and 40664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40657 and 40664.

How to find the GCF of 40657 and 40664?

We will first find the prime factorization of 40657 and 40664. After we will calculate the factors of 40657 and 40664 and find the biggest common factor number .

Step-1: Prime Factorization of 40657

Prime factors of 40657 are 109, 373. Prime factorization of 40657 in exponential form is:

40657 = 109¹ × 373¹

Step-2: Prime Factorization of 40664

Prime factors of 40664 are 2, 13, 17, 23. Prime factorization of 40664 in exponential form is:

40664 = 2³ × 13¹ × 17¹ × 23¹

Step-3: Factors of 40657

List of positive integer factors of 40657 that divides 40657 without a remainder.

1, 109, 373

Step-4: Factors of 40664

List of positive integer factors of 40664 that divides 40657 without a remainder.

1, 2, 4, 8, 13, 17, 23, 26, 34, 46, 52, 68, 92, 104, 136, 184, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 1768, 2392, 3128, 5083, 10166, 20332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40657 and 40664. The biggest common factor number is the GCF number.
So the greatest common factor 40657 and 40664 is 1.

Also check out the Least Common Multiple of 40657 and 40664