What is the Greatest Common Factor of 85366 and 85376?

Greatest common factor (GCF) of 85366 and 85376 is 2.

GCF(85366,85376) = 2

We will now calculate the prime factors of 85366 and 85376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85366 and 85376.

How to find the GCF of 85366 and 85376?

We will first find the prime factorization of 85366 and 85376. After we will calculate the factors of 85366 and 85376 and find the biggest common factor number .

Step-1: Prime Factorization of 85366

Prime factors of 85366 are 2, 42683. Prime factorization of 85366 in exponential form is:

85366 = 2¹ × 42683¹

Step-2: Prime Factorization of 85376

Prime factors of 85376 are 2, 23, 29. Prime factorization of 85376 in exponential form is:

85376 = 2⁷ × 23¹ × 29¹

Step-3: Factors of 85366

List of positive integer factors of 85366 that divides 85366 without a remainder.

1, 2, 42683

Step-4: Factors of 85376

List of positive integer factors of 85376 that divides 85366 without a remainder.

1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 64, 92, 116, 128, 184, 232, 368, 464, 667, 736, 928, 1334, 1472, 1856, 2668, 2944, 3712, 5336, 10672, 21344, 42688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85366 and 85376. The biggest common factor number is the GCF number.
So the greatest common factor 85366 and 85376 is 2.

Also check out the Least Common Multiple of 85366 and 85376