What is the Greatest Common Factor of 63154 and 63172?

Greatest common factor (GCF) of 63154 and 63172 is 2.

GCF(63154,63172) = 2

We will now calculate the prime factors of 63154 and 63172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63154 and 63172.

How to find the GCF of 63154 and 63172?

We will first find the prime factorization of 63154 and 63172. After we will calculate the factors of 63154 and 63172 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 63172

Prime factors of 63172 are 2, 17, 929. Prime factorization of 63172 in exponential form is:

63172 = 2² × 17¹ × 929¹

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 63172

List of positive integer factors of 63172 that divides 63154 without a remainder.

1, 2, 4, 17, 34, 68, 929, 1858, 3716, 15793, 31586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63154 and 63172. The biggest common factor number is the GCF number.
So the greatest common factor 63154 and 63172 is 2.

Also check out the Least Common Multiple of 63154 and 63172