What is the Greatest Common Factor of 147 and 153?

Greatest common factor (GCF) of 147 and 153 is 3.

GCF(147,153) = 3

We will now calculate the prime factors of 147 and 153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 147 and 153.

How to find the GCF of 147 and 153?

We will first find the prime factorization of 147 and 153. After we will calculate the factors of 147 and 153 and find the biggest common factor number .

Step-1: Prime Factorization of 147

Prime factors of 147 are 3, 7. Prime factorization of 147 in exponential form is:

147 = 3¹ × 7²

Step-2: Prime Factorization of 153

Prime factors of 153 are 3, 17. Prime factorization of 153 in exponential form is:

153 = 3² × 17¹

Step-3: Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49

Step-4: Factors of 153

List of positive integer factors of 153 that divides 147 without a remainder.

1, 3, 9, 17, 51

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 147 and 153. The biggest common factor number is the GCF number.
So the greatest common factor 147 and 153 is 3.

Also check out the Least Common Multiple of 147 and 153