What is the Greatest Common Factor of 75308 and 75324?

Greatest common factor (GCF) of 75308 and 75324 is 4.

GCF(75308,75324) = 4

We will now calculate the prime factors of 75308 and 75324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75308 and 75324.

How to find the GCF of 75308 and 75324?

We will first find the prime factorization of 75308 and 75324. After we will calculate the factors of 75308 and 75324 and find the biggest common factor number .

Step-1: Prime Factorization of 75308

Prime factors of 75308 are 2, 67, 281. Prime factorization of 75308 in exponential form is:

75308 = 2² × 67¹ × 281¹

Step-2: Prime Factorization of 75324

Prime factors of 75324 are 2, 3, 6277. Prime factorization of 75324 in exponential form is:

75324 = 2² × 3¹ × 6277¹

Step-3: Factors of 75308

List of positive integer factors of 75308 that divides 75308 without a remainder.

1, 2, 4, 67, 134, 268, 281, 562, 1124, 18827, 37654

Step-4: Factors of 75324

List of positive integer factors of 75324 that divides 75308 without a remainder.

1, 2, 3, 4, 6, 12, 6277, 12554, 18831, 25108, 37662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75308 and 75324. The biggest common factor number is the GCF number.
So the greatest common factor 75308 and 75324 is 4.

Also check out the Least Common Multiple of 75308 and 75324