What is the Greatest Common Factor of 3141 and 3153?

Greatest common factor (GCF) of 3141 and 3153 is 3.

GCF(3141,3153) = 3

We will now calculate the prime factors of 3141 and 3153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3141 and 3153.

How to find the GCF of 3141 and 3153?

We will first find the prime factorization of 3141 and 3153. After we will calculate the factors of 3141 and 3153 and find the biggest common factor number .

Step-1: Prime Factorization of 3141

Prime factors of 3141 are 3, 349. Prime factorization of 3141 in exponential form is:

3141 = 3² × 349¹

Step-2: Prime Factorization of 3153

Prime factors of 3153 are 3, 1051. Prime factorization of 3153 in exponential form is:

3153 = 3¹ × 1051¹

Step-3: Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1, 3, 9, 349, 1047

Step-4: Factors of 3153

List of positive integer factors of 3153 that divides 3141 without a remainder.

1, 3, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3141 and 3153. The biggest common factor number is the GCF number.
So the greatest common factor 3141 and 3153 is 3.

Also check out the Least Common Multiple of 3141 and 3153