What is the Greatest Common Factor of 40584 and 40601?

Greatest common factor (GCF) of 40584 and 40601 is 1.

GCF(40584,40601) = 1

We will now calculate the prime factors of 40584 and 40601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40584 and 40601.

How to find the GCF of 40584 and 40601?

We will first find the prime factorization of 40584 and 40601. After we will calculate the factors of 40584 and 40601 and find the biggest common factor number .

Step-1: Prime Factorization of 40584

Prime factors of 40584 are 2, 3, 19, 89. Prime factorization of 40584 in exponential form is:

40584 = 2³ × 3¹ × 19¹ × 89¹

Step-2: Prime Factorization of 40601

Prime factors of 40601 are 11, 3691. Prime factorization of 40601 in exponential form is:

40601 = 11¹ × 3691¹

Step-3: Factors of 40584

List of positive integer factors of 40584 that divides 40584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 89, 114, 152, 178, 228, 267, 356, 456, 534, 712, 1068, 1691, 2136, 3382, 5073, 6764, 10146, 13528, 20292

Step-4: Factors of 40601

List of positive integer factors of 40601 that divides 40584 without a remainder.

1, 11, 3691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40584 and 40601. The biggest common factor number is the GCF number.
So the greatest common factor 40584 and 40601 is 1.

Also check out the Least Common Multiple of 40584 and 40601