What is the Greatest Common Factor of 63121 and 63138?

Greatest common factor (GCF) of 63121 and 63138 is 17.

GCF(63121,63138) = 17

We will now calculate the prime factors of 63121 and 63138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63121 and 63138.

How to find the GCF of 63121 and 63138?

We will first find the prime factorization of 63121 and 63138. After we will calculate the factors of 63121 and 63138 and find the biggest common factor number .

Step-1: Prime Factorization of 63121

Prime factors of 63121 are 17, 47, 79. Prime factorization of 63121 in exponential form is:

63121 = 17¹ × 47¹ × 79¹

Step-2: 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-3: Factors of 63121

List of positive integer factors of 63121 that divides 63121 without a remainder.

1, 17, 47, 79, 799, 1343, 3713

Step-4: Factors of 63138

List of positive integer factors of 63138 that divides 63121 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63121 and 63138. The biggest common factor number is the GCF number.
So the greatest common factor 63121 and 63138 is 17.

Also check out the Least Common Multiple of 63121 and 63138