What is the Greatest Common Factor of 40584 and 40588?

Greatest common factor (GCF) of 40584 and 40588 is 4.

GCF(40584,40588) = 4

We will now calculate the prime factors of 40584 and 40588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40584 and 40588.

How to find the GCF of 40584 and 40588?

We will first find the prime factorization of 40584 and 40588. After we will calculate the factors of 40584 and 40588 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 40588

Prime factors of 40588 are 2, 73, 139. Prime factorization of 40588 in exponential form is:

40588 = 2² × 73¹ × 139¹

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 40588

List of positive integer factors of 40588 that divides 40584 without a remainder.

1, 2, 4, 73, 139, 146, 278, 292, 556, 10147, 20294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40584 and 40588. The biggest common factor number is the GCF number.
So the greatest common factor 40584 and 40588 is 4.

Also check out the Least Common Multiple of 40584 and 40588