What is the Greatest Common Factor of 40575 and 40584?

Greatest common factor (GCF) of 40575 and 40584 is 3.

GCF(40575,40584) = 3

We will now calculate the prime factors of 40575 and 40584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40575 and 40584.

How to find the GCF of 40575 and 40584?

We will first find the prime factorization of 40575 and 40584. After we will calculate the factors of 40575 and 40584 and find the biggest common factor number .

Step-1: Prime Factorization of 40575

Prime factors of 40575 are 3, 5, 541. Prime factorization of 40575 in exponential form is:

40575 = 3¹ × 5² × 541¹

Step-2: 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-3: Factors of 40575

List of positive integer factors of 40575 that divides 40575 without a remainder.

1, 3, 5, 15, 25, 75, 541, 1623, 2705, 8115, 13525

Step-4: Factors of 40584

List of positive integer factors of 40584 that divides 40575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40575 and 40584. The biggest common factor number is the GCF number.
So the greatest common factor 40575 and 40584 is 3.

Also check out the Least Common Multiple of 40575 and 40584