What is the Greatest Common Factor of 83605 and 83620?

Greatest common factor (GCF) of 83605 and 83620 is 5.

GCF(83605,83620) = 5

We will now calculate the prime factors of 83605 and 83620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83605 and 83620.

How to find the GCF of 83605 and 83620?

We will first find the prime factorization of 83605 and 83620. After we will calculate the factors of 83605 and 83620 and find the biggest common factor number .

Step-1: Prime Factorization of 83605

Prime factors of 83605 are 5, 23, 727. Prime factorization of 83605 in exponential form is:

83605 = 5¹ × 23¹ × 727¹

Step-2: Prime Factorization of 83620

Prime factors of 83620 are 2, 5, 37, 113. Prime factorization of 83620 in exponential form is:

83620 = 2² × 5¹ × 37¹ × 113¹

Step-3: Factors of 83605

List of positive integer factors of 83605 that divides 83605 without a remainder.

1, 5, 23, 115, 727, 3635, 16721

Step-4: Factors of 83620

List of positive integer factors of 83620 that divides 83605 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 113, 148, 185, 226, 370, 452, 565, 740, 1130, 2260, 4181, 8362, 16724, 20905, 41810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83605 and 83620. The biggest common factor number is the GCF number.
So the greatest common factor 83605 and 83620 is 5.

Also check out the Least Common Multiple of 83605 and 83620