What is the Greatest Common Factor of 45147 and 45159?

Greatest common factor (GCF) of 45147 and 45159 is 3.

GCF(45147,45159) = 3

We will now calculate the prime factors of 45147 and 45159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45147 and 45159.

How to find the GCF of 45147 and 45159?

We will first find the prime factorization of 45147 and 45159. After we will calculate the factors of 45147 and 45159 and find the biggest common factor number .

Step-1: Prime Factorization of 45147

Prime factors of 45147 are 3, 101, 149. Prime factorization of 45147 in exponential form is:

45147 = 3¹ × 101¹ × 149¹

Step-2: Prime Factorization of 45159

Prime factors of 45159 are 3, 15053. Prime factorization of 45159 in exponential form is:

45159 = 3¹ × 15053¹

Step-3: Factors of 45147

List of positive integer factors of 45147 that divides 45147 without a remainder.

1, 3, 101, 149, 303, 447, 15049

Step-4: Factors of 45159

List of positive integer factors of 45159 that divides 45147 without a remainder.

1, 3, 15053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45147 and 45159. The biggest common factor number is the GCF number.
So the greatest common factor 45147 and 45159 is 3.

Also check out the Least Common Multiple of 45147 and 45159