What is the Greatest Common Factor of 83640 and 83657?

Greatest common factor (GCF) of 83640 and 83657 is 17.

GCF(83640,83657) = 17

We will now calculate the prime factors of 83640 and 83657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83640 and 83657.

How to find the GCF of 83640 and 83657?

We will first find the prime factorization of 83640 and 83657. After we will calculate the factors of 83640 and 83657 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 83657

Prime factors of 83657 are 7, 17, 19, 37. Prime factorization of 83657 in exponential form is:

83657 = 7¹ × 17¹ × 19¹ × 37¹

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 83657

List of positive integer factors of 83657 that divides 83640 without a remainder.

1, 7, 17, 19, 37, 119, 133, 259, 323, 629, 703, 2261, 4403, 4921, 11951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83640 and 83657. The biggest common factor number is the GCF number.
So the greatest common factor 83640 and 83657 is 17.

Also check out the Least Common Multiple of 83640 and 83657