What is the Greatest Common Factor of 40584 and 40598?

Greatest common factor (GCF) of 40584 and 40598 is 2.

GCF(40584,40598) = 2

We will now calculate the prime factors of 40584 and 40598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40584 and 40598.

How to find the GCF of 40584 and 40598?

We will first find the prime factorization of 40584 and 40598. After we will calculate the factors of 40584 and 40598 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 40598

Prime factors of 40598 are 2, 53, 383. Prime factorization of 40598 in exponential form is:

40598 = 2¹ × 53¹ × 383¹

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 40598

List of positive integer factors of 40598 that divides 40584 without a remainder.

1, 2, 53, 106, 383, 766, 20299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40584 and 40598. The biggest common factor number is the GCF number.
So the greatest common factor 40584 and 40598 is 2.

Also check out the Least Common Multiple of 40584 and 40598