What is the Greatest Common Factor of 83580 and 83590?

Greatest common factor (GCF) of 83580 and 83590 is 10.

GCF(83580,83590) = 10

We will now calculate the prime factors of 83580 and 83590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83580 and 83590.

How to find the GCF of 83580 and 83590?

We will first find the prime factorization of 83580 and 83590. After we will calculate the factors of 83580 and 83590 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 83590

Prime factors of 83590 are 2, 5, 13, 643. Prime factorization of 83590 in exponential form is:

83590 = 2¹ × 5¹ × 13¹ × 643¹

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 83590

List of positive integer factors of 83590 that divides 83580 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 643, 1286, 3215, 6430, 8359, 16718, 41795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83580 and 83590. The biggest common factor number is the GCF number.
So the greatest common factor 83580 and 83590 is 10.

Also check out the Least Common Multiple of 83580 and 83590