What is the Greatest Common Factor of 83562 and 83580?

Greatest common factor (GCF) of 83562 and 83580 is 6.

GCF(83562,83580) = 6

We will now calculate the prime factors of 83562 and 83580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83562 and 83580.

How to find the GCF of 83562 and 83580?

We will first find the prime factorization of 83562 and 83580. After we will calculate the factors of 83562 and 83580 and find the biggest common factor number .

Step-1: Prime Factorization of 83562

Prime factors of 83562 are 2, 3, 19, 733. Prime factorization of 83562 in exponential form is:

83562 = 2¹ × 3¹ × 19¹ × 733¹

Step-2: 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-3: Factors of 83562

List of positive integer factors of 83562 that divides 83562 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 733, 1466, 2199, 4398, 13927, 27854, 41781

Step-4: Factors of 83580

List of positive integer factors of 83580 that divides 83562 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83562 and 83580. The biggest common factor number is the GCF number.
So the greatest common factor 83562 and 83580 is 6.

Also check out the Least Common Multiple of 83562 and 83580