What is the Greatest Common Factor of 75009 and 75024?

Greatest common factor (GCF) of 75009 and 75024 is 3.

GCF(75009,75024) = 3

We will now calculate the prime factors of 75009 and 75024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75009 and 75024.

How to find the GCF of 75009 and 75024?

We will first find the prime factorization of 75009 and 75024. After we will calculate the factors of 75009 and 75024 and find the biggest common factor number .

Step-1: Prime Factorization of 75009

Prime factors of 75009 are 3, 11, 2273. Prime factorization of 75009 in exponential form is:

75009 = 3¹ × 11¹ × 2273¹

Step-2: Prime Factorization of 75024

Prime factors of 75024 are 2, 3, 521. Prime factorization of 75024 in exponential form is:

75024 = 2⁴ × 3² × 521¹

Step-3: Factors of 75009

List of positive integer factors of 75009 that divides 75009 without a remainder.

1, 3, 11, 33, 2273, 6819, 25003

Step-4: Factors of 75024

List of positive integer factors of 75024 that divides 75009 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 521, 1042, 1563, 2084, 3126, 4168, 4689, 6252, 8336, 9378, 12504, 18756, 25008, 37512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75009 and 75024. The biggest common factor number is the GCF number.
So the greatest common factor 75009 and 75024 is 3.

Also check out the Least Common Multiple of 75009 and 75024