What is the Greatest Common Factor of 83632 and 83640?

Greatest common factor (GCF) of 83632 and 83640 is 8.

GCF(83632,83640) = 8

We will now calculate the prime factors of 83632 and 83640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83632 and 83640.

How to find the GCF of 83632 and 83640?

We will first find the prime factorization of 83632 and 83640. After we will calculate the factors of 83632 and 83640 and find the biggest common factor number .

Step-1: Prime Factorization of 83632

Prime factors of 83632 are 2, 5227. Prime factorization of 83632 in exponential form is:

83632 = 2⁴ × 5227¹

Step-2: 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-3: Factors of 83632

List of positive integer factors of 83632 that divides 83632 without a remainder.

1, 2, 4, 8, 16, 5227, 10454, 20908, 41816

Step-4: Factors of 83640

List of positive integer factors of 83640 that divides 83632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83632 and 83640. The biggest common factor number is the GCF number.
So the greatest common factor 83632 and 83640 is 8.

Also check out the Least Common Multiple of 83632 and 83640