What is the Greatest Common Factor of 83144 and 83163?

Greatest common factor (GCF) of 83144 and 83163 is 19.

GCF(83144,83163) = 19

We will now calculate the prime factors of 83144 and 83163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83144 and 83163.

How to find the GCF of 83144 and 83163?

We will first find the prime factorization of 83144 and 83163. After we will calculate the factors of 83144 and 83163 and find the biggest common factor number .

Step-1: Prime Factorization of 83144

Prime factors of 83144 are 2, 19, 547. Prime factorization of 83144 in exponential form is:

83144 = 2³ × 19¹ × 547¹

Step-2: Prime Factorization of 83163

Prime factors of 83163 are 3, 19, 1459. Prime factorization of 83163 in exponential form is:

83163 = 3¹ × 19¹ × 1459¹

Step-3: Factors of 83144

List of positive integer factors of 83144 that divides 83144 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 547, 1094, 2188, 4376, 10393, 20786, 41572

Step-4: Factors of 83163

List of positive integer factors of 83163 that divides 83144 without a remainder.

1, 3, 19, 57, 1459, 4377, 27721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83144 and 83163. The biggest common factor number is the GCF number.
So the greatest common factor 83144 and 83163 is 19.

Also check out the Least Common Multiple of 83144 and 83163