What is the Greatest Common Factor of 63174 and 63181?

Greatest common factor (GCF) of 63174 and 63181 is 1.

GCF(63174,63181) = 1

We will now calculate the prime factors of 63174 and 63181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63174 and 63181.

How to find the GCF of 63174 and 63181?

We will first find the prime factorization of 63174 and 63181. After we will calculate the factors of 63174 and 63181 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63181

Prime factors of 63181 are 23, 41, 67. Prime factorization of 63181 in exponential form is:

63181 = 23¹ × 41¹ × 67¹

Step-3: Factors of 63174

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

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

Step-4: Factors of 63181

List of positive integer factors of 63181 that divides 63174 without a remainder.

1, 23, 41, 67, 943, 1541, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63174 and 63181. The biggest common factor number is the GCF number.
So the greatest common factor 63174 and 63181 is 1.

Also check out the Least Common Multiple of 63174 and 63181