What is the Greatest Common Factor of 83020 and 83034?

Greatest common factor (GCF) of 83020 and 83034 is 14.

GCF(83020,83034) = 14

We will now calculate the prime factors of 83020 and 83034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83020 and 83034.

How to find the GCF of 83020 and 83034?

We will first find the prime factorization of 83020 and 83034. After we will calculate the factors of 83020 and 83034 and find the biggest common factor number .

Step-1: Prime Factorization of 83020

Prime factors of 83020 are 2, 5, 7, 593. Prime factorization of 83020 in exponential form is:

83020 = 2² × 5¹ × 7¹ × 593¹

Step-2: Prime Factorization of 83034

Prime factors of 83034 are 2, 3, 7, 659. Prime factorization of 83034 in exponential form is:

83034 = 2¹ × 3² × 7¹ × 659¹

Step-3: Factors of 83020

List of positive integer factors of 83020 that divides 83020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 593, 1186, 2372, 2965, 4151, 5930, 8302, 11860, 16604, 20755, 41510

Step-4: Factors of 83034

List of positive integer factors of 83034 that divides 83020 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 659, 1318, 1977, 3954, 4613, 5931, 9226, 11862, 13839, 27678, 41517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83020 and 83034. The biggest common factor number is the GCF number.
So the greatest common factor 83020 and 83034 is 14.

Also check out the Least Common Multiple of 83020 and 83034