What is the Greatest Common Factor of 83640 and 83660?

Greatest common factor (GCF) of 83640 and 83660 is 20.

GCF(83640,83660) = 20

We will now calculate the prime factors of 83640 and 83660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83640 and 83660.

How to find the GCF of 83640 and 83660?

We will first find the prime factorization of 83640 and 83660. After we will calculate the factors of 83640 and 83660 and find the biggest common factor number .

Step-1: Prime Factorization of 83640

Prime factors of 83640 are 2, 3, 5, 17, 41. Prime factorization of 83640 in exponential form is:

83640 = 2³ × 3¹ × 5¹ × 17¹ × 41¹

Step-2: Prime Factorization of 83660

Prime factors of 83660 are 2, 5, 47, 89. Prime factorization of 83660 in exponential form is:

83660 = 2² × 5¹ × 47¹ × 89¹

Step-3: Factors of 83640

List of positive integer factors of 83640 that divides 83640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 41, 51, 60, 68, 82, 85, 102, 120, 123, 136, 164, 170, 204, 205, 246, 255, 328, 340, 408, 410, 492, 510, 615, 680, 697, 820, 984, 1020, 1230, 1394, 1640, 2040, 2091, 2460, 2788, 3485, 4182, 4920, 5576, 6970, 8364, 10455, 13940, 16728, 20910, 27880, 41820

Step-4: Factors of 83660

List of positive integer factors of 83660 that divides 83640 without a remainder.

1, 2, 4, 5, 10, 20, 47, 89, 94, 178, 188, 235, 356, 445, 470, 890, 940, 1780, 4183, 8366, 16732, 20915, 41830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83640 and 83660. The biggest common factor number is the GCF number.
So the greatest common factor 83640 and 83660 is 20.

Also check out the Least Common Multiple of 83640 and 83660