What is the Greatest Common Factor of 85668 and 85678?

Greatest common factor (GCF) of 85668 and 85678 is 2.

GCF(85668,85678) = 2

We will now calculate the prime factors of 85668 and 85678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85668 and 85678.

How to find the GCF of 85668 and 85678?

We will first find the prime factorization of 85668 and 85678. After we will calculate the factors of 85668 and 85678 and find the biggest common factor number .

Step-1: Prime Factorization of 85668

Prime factors of 85668 are 2, 3, 11, 59. Prime factorization of 85668 in exponential form is:

85668 = 2² × 3¹ × 11² × 59¹

Step-2: Prime Factorization of 85678

Prime factors of 85678 are 2, 42839. Prime factorization of 85678 in exponential form is:

85678 = 2¹ × 42839¹

Step-3: Factors of 85668

List of positive integer factors of 85668 that divides 85668 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 121, 132, 177, 236, 242, 354, 363, 484, 649, 708, 726, 1298, 1452, 1947, 2596, 3894, 7139, 7788, 14278, 21417, 28556, 42834

Step-4: Factors of 85678

List of positive integer factors of 85678 that divides 85668 without a remainder.

1, 2, 42839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85668 and 85678. The biggest common factor number is the GCF number.
So the greatest common factor 85668 and 85678 is 2.

Also check out the Least Common Multiple of 85668 and 85678