What is the Greatest Common Factor of 75147 and 75159?

Greatest common factor (GCF) of 75147 and 75159 is 3.

GCF(75147,75159) = 3

We will now calculate the prime factors of 75147 and 75159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75147 and 75159.

How to find the GCF of 75147 and 75159?

We will first find the prime factorization of 75147 and 75159. After we will calculate the factors of 75147 and 75159 and find the biggest common factor number .

Step-1: Prime Factorization of 75147

Prime factors of 75147 are 3, 37, 677. Prime factorization of 75147 in exponential form is:

75147 = 3¹ × 37¹ × 677¹

Step-2: Prime Factorization of 75159

Prime factors of 75159 are 3, 7, 1193. Prime factorization of 75159 in exponential form is:

75159 = 3² × 7¹ × 1193¹

Step-3: Factors of 75147

List of positive integer factors of 75147 that divides 75147 without a remainder.

1, 3, 37, 111, 677, 2031, 25049

Step-4: Factors of 75159

List of positive integer factors of 75159 that divides 75147 without a remainder.

1, 3, 7, 9, 21, 63, 1193, 3579, 8351, 10737, 25053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75147 and 75159. The biggest common factor number is the GCF number.
So the greatest common factor 75147 and 75159 is 3.

Also check out the Least Common Multiple of 75147 and 75159