What is the Greatest Common Factor of 63159 and 63174?

Greatest common factor (GCF) of 63159 and 63174 is 3.

GCF(63159,63174) = 3

We will now calculate the prime factors of 63159 and 63174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63159 and 63174.

How to find the GCF of 63159 and 63174?

We will first find the prime factorization of 63159 and 63174. After we will calculate the factors of 63159 and 63174 and find the biggest common factor number .

Step-1: Prime Factorization of 63159

Prime factors of 63159 are 3, 37, 569. Prime factorization of 63159 in exponential form is:

63159 = 3¹ × 37¹ × 569¹

Step-2: Prime Factorization of 63174

Prime factors of 63174 are 2, 3, 10529. Prime factorization of 63174 in exponential form is:

63174 = 2¹ × 3¹ × 10529¹

Step-3: Factors of 63159

List of positive integer factors of 63159 that divides 63159 without a remainder.

1, 3, 37, 111, 569, 1707, 21053

Step-4: Factors of 63174

List of positive integer factors of 63174 that divides 63159 without a remainder.

1, 2, 3, 6, 10529, 21058, 31587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63159 and 63174. The biggest common factor number is the GCF number.
So the greatest common factor 63159 and 63174 is 3.

Also check out the Least Common Multiple of 63159 and 63174