What is the Greatest Common Factor of 63154 and 63167?

Greatest common factor (GCF) of 63154 and 63167 is 13.

GCF(63154,63167) = 13

We will now calculate the prime factors of 63154 and 63167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63154 and 63167.

How to find the GCF of 63154 and 63167?

We will first find the prime factorization of 63154 and 63167. After we will calculate the factors of 63154 and 63167 and find the biggest common factor number .

Step-1: Prime Factorization of 63154

Prime factors of 63154 are 2, 7, 13, 347. Prime factorization of 63154 in exponential form is:

63154 = 2¹ × 7¹ × 13¹ × 347¹

Step-2: Prime Factorization of 63167

Prime factors of 63167 are 13, 43, 113. Prime factorization of 63167 in exponential form is:

63167 = 13¹ × 43¹ × 113¹

Step-3: Factors of 63154

List of positive integer factors of 63154 that divides 63154 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 347, 694, 2429, 4511, 4858, 9022, 31577

Step-4: Factors of 63167

List of positive integer factors of 63167 that divides 63154 without a remainder.

1, 13, 43, 113, 559, 1469, 4859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63154 and 63167. The biggest common factor number is the GCF number.
So the greatest common factor 63154 and 63167 is 13.

Also check out the Least Common Multiple of 63154 and 63167