What is the Greatest Common Factor of 83140 and 83144?

Greatest common factor (GCF) of 83140 and 83144 is 4.

GCF(83140,83144) = 4

We will now calculate the prime factors of 83140 and 83144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83140 and 83144.

How to find the GCF of 83140 and 83144?

We will first find the prime factorization of 83140 and 83144. After we will calculate the factors of 83140 and 83144 and find the biggest common factor number .

Step-1: Prime Factorization of 83140

Prime factors of 83140 are 2, 5, 4157. Prime factorization of 83140 in exponential form is:

83140 = 2² × 5¹ × 4157¹

Step-2: 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-3: Factors of 83140

List of positive integer factors of 83140 that divides 83140 without a remainder.

1, 2, 4, 5, 10, 20, 4157, 8314, 16628, 20785, 41570

Step-4: Factors of 83144

List of positive integer factors of 83144 that divides 83140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83140 and 83144. The biggest common factor number is the GCF number.
So the greatest common factor 83140 and 83144 is 4.

Also check out the Least Common Multiple of 83140 and 83144