What is the Greatest Common Factor of 83580 and 83594?

Greatest common factor (GCF) of 83580 and 83594 is 14.

GCF(83580,83594) = 14

We will now calculate the prime factors of 83580 and 83594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83580 and 83594.

How to find the GCF of 83580 and 83594?

We will first find the prime factorization of 83580 and 83594. After we will calculate the factors of 83580 and 83594 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 83594

Prime factors of 83594 are 2, 7, 853. Prime factorization of 83594 in exponential form is:

83594 = 2¹ × 7² × 853¹

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 83594

List of positive integer factors of 83594 that divides 83580 without a remainder.

1, 2, 7, 14, 49, 98, 853, 1706, 5971, 11942, 41797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83580 and 83594. The biggest common factor number is the GCF number.
So the greatest common factor 83580 and 83594 is 14.

Also check out the Least Common Multiple of 83580 and 83594