What is the Greatest Common Factor of 85674 and 85688?

Greatest common factor (GCF) of 85674 and 85688 is 2.

GCF(85674,85688) = 2

We will now calculate the prime factors of 85674 and 85688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85674 and 85688.

How to find the GCF of 85674 and 85688?

We will first find the prime factorization of 85674 and 85688. After we will calculate the factors of 85674 and 85688 and find the biggest common factor number .

Step-1: Prime Factorization of 85674

Prime factors of 85674 are 2, 3, 109, 131. Prime factorization of 85674 in exponential form is:

85674 = 2¹ × 3¹ × 109¹ × 131¹

Step-2: Prime Factorization of 85688

Prime factors of 85688 are 2, 10711. Prime factorization of 85688 in exponential form is:

85688 = 2³ × 10711¹

Step-3: Factors of 85674

List of positive integer factors of 85674 that divides 85674 without a remainder.

1, 2, 3, 6, 109, 131, 218, 262, 327, 393, 654, 786, 14279, 28558, 42837

Step-4: Factors of 85688

List of positive integer factors of 85688 that divides 85674 without a remainder.

1, 2, 4, 8, 10711, 21422, 42844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85674 and 85688. The biggest common factor number is the GCF number.
So the greatest common factor 85674 and 85688 is 2.

Also check out the Least Common Multiple of 85674 and 85688