What is the Greatest Common Factor of 83640 and 83654?

Greatest common factor (GCF) of 83640 and 83654 is 2.

GCF(83640,83654) = 2

We will now calculate the prime factors of 83640 and 83654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83640 and 83654.

How to find the GCF of 83640 and 83654?

We will first find the prime factorization of 83640 and 83654. After we will calculate the factors of 83640 and 83654 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 83654

Prime factors of 83654 are 2, 151, 277. Prime factorization of 83654 in exponential form is:

83654 = 2¹ × 151¹ × 277¹

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 83654

List of positive integer factors of 83654 that divides 83640 without a remainder.

1, 2, 151, 277, 302, 554, 41827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83640 and 83654. The biggest common factor number is the GCF number.
So the greatest common factor 83640 and 83654 is 2.

Also check out the Least Common Multiple of 83640 and 83654