What is the Greatest Common Factor of 63138 and 63155?

Greatest common factor (GCF) of 63138 and 63155 is 17.

GCF(63138,63155) = 17

We will now calculate the prime factors of 63138 and 63155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63138 and 63155.

How to find the GCF of 63138 and 63155?

We will first find the prime factorization of 63138 and 63155. After we will calculate the factors of 63138 and 63155 and find the biggest common factor number .

Step-1: Prime Factorization of 63138

Prime factors of 63138 are 2, 3, 17, 619. Prime factorization of 63138 in exponential form is:

63138 = 2¹ × 3¹ × 17¹ × 619¹

Step-2: Prime Factorization of 63155

Prime factors of 63155 are 5, 17, 743. Prime factorization of 63155 in exponential form is:

63155 = 5¹ × 17¹ × 743¹

Step-3: Factors of 63138

List of positive integer factors of 63138 that divides 63138 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 619, 1238, 1857, 3714, 10523, 21046, 31569

Step-4: Factors of 63155

List of positive integer factors of 63155 that divides 63138 without a remainder.

1, 5, 17, 85, 743, 3715, 12631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63138 and 63155. The biggest common factor number is the GCF number.
So the greatest common factor 63138 and 63155 is 17.

Also check out the Least Common Multiple of 63138 and 63155