What is the Greatest Common Factor of 83120 and 83140?

Greatest common factor (GCF) of 83120 and 83140 is 20.

GCF(83120,83140) = 20

We will now calculate the prime factors of 83120 and 83140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83120 and 83140.

How to find the GCF of 83120 and 83140?

We will first find the prime factorization of 83120 and 83140. After we will calculate the factors of 83120 and 83140 and find the biggest common factor number .

Step-1: Prime Factorization of 83120

Prime factors of 83120 are 2, 5, 1039. Prime factorization of 83120 in exponential form is:

83120 = 2⁴ × 5¹ × 1039¹

Step-2: 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-3: Factors of 83120

List of positive integer factors of 83120 that divides 83120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1039, 2078, 4156, 5195, 8312, 10390, 16624, 20780, 41560

Step-4: Factors of 83140

List of positive integer factors of 83140 that divides 83120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83120 and 83140. The biggest common factor number is the GCF number.
So the greatest common factor 83120 and 83140 is 20.

Also check out the Least Common Multiple of 83120 and 83140