What is the Greatest Common Factor of 40589 and 40608?

Greatest common factor (GCF) of 40589 and 40608 is 1.

GCF(40589,40608) = 1

We will now calculate the prime factors of 40589 and 40608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40589 and 40608.

How to find the GCF of 40589 and 40608?

We will first find the prime factorization of 40589 and 40608. After we will calculate the factors of 40589 and 40608 and find the biggest common factor number .

Step-1: Prime Factorization of 40589

Prime factors of 40589 are 37, 1097. Prime factorization of 40589 in exponential form is:

40589 = 37¹ × 1097¹

Step-2: Prime Factorization of 40608

Prime factors of 40608 are 2, 3, 47. Prime factorization of 40608 in exponential form is:

40608 = 2⁵ × 3³ × 47¹

Step-3: Factors of 40589

List of positive integer factors of 40589 that divides 40589 without a remainder.

1, 37, 1097

Step-4: Factors of 40608

List of positive integer factors of 40608 that divides 40589 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 47, 48, 54, 72, 94, 96, 108, 141, 144, 188, 216, 282, 288, 376, 423, 432, 564, 752, 846, 864, 1128, 1269, 1504, 1692, 2256, 2538, 3384, 4512, 5076, 6768, 10152, 13536, 20304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40589 and 40608. The biggest common factor number is the GCF number.
So the greatest common factor 40589 and 40608 is 1.

Also check out the Least Common Multiple of 40589 and 40608