What is the Greatest Common Factor of 83570 and 83580?

Greatest common factor (GCF) of 83570 and 83580 is 10.

GCF(83570,83580) = 10

We will now calculate the prime factors of 83570 and 83580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83570 and 83580.

How to find the GCF of 83570 and 83580?

We will first find the prime factorization of 83570 and 83580. After we will calculate the factors of 83570 and 83580 and find the biggest common factor number .

Step-1: Prime Factorization of 83570

Prime factors of 83570 are 2, 5, 61, 137. Prime factorization of 83570 in exponential form is:

83570 = 2¹ × 5¹ × 61¹ × 137¹

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 83570

List of positive integer factors of 83570 that divides 83570 without a remainder.

1, 2, 5, 10, 61, 122, 137, 274, 305, 610, 685, 1370, 8357, 16714, 41785

Step-4: Factors of 83580

List of positive integer factors of 83580 that divides 83570 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 83570 and 83580. The biggest common factor number is the GCF number.
So the greatest common factor 83570 and 83580 is 10.

Also check out the Least Common Multiple of 83570 and 83580