What is the Greatest Common Factor of 83580 and 83589?

Greatest common factor (GCF) of 83580 and 83589 is 3.

GCF(83580,83589) = 3

We will now calculate the prime factors of 83580 and 83589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83580 and 83589.

How to find the GCF of 83580 and 83589?

We will first find the prime factorization of 83580 and 83589. After we will calculate the factors of 83580 and 83589 and find the biggest common factor number .

Step-1: Prime Factorization of 83580

Prime factors of 83580 are 2, 3, 5, 7, 199. Prime factorization of 83580 in exponential form is:

83580 = 2² × 3¹ × 5¹ × 7¹ × 199¹

Step-2: Prime Factorization of 83589

Prime factors of 83589 are 3, 11, 17, 149. Prime factorization of 83589 in exponential form is:

83589 = 3¹ × 11¹ × 17¹ × 149¹

Step-3: Factors of 83580

List of positive integer factors of 83580 that divides 83580 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 199, 210, 398, 420, 597, 796, 995, 1194, 1393, 1990, 2388, 2786, 2985, 3980, 4179, 5572, 5970, 6965, 8358, 11940, 13930, 16716, 20895, 27860, 41790

Step-4: Factors of 83589

List of positive integer factors of 83589 that divides 83580 without a remainder.

1, 3, 11, 17, 33, 51, 149, 187, 447, 561, 1639, 2533, 4917, 7599, 27863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83580 and 83589. The biggest common factor number is the GCF number.
So the greatest common factor 83580 and 83589 is 3.

Also check out the Least Common Multiple of 83580 and 83589