What is the Greatest Common Factor of 84667 and 84678?

Greatest common factor (GCF) of 84667 and 84678 is 11.

GCF(84667,84678) = 11

We will now calculate the prime factors of 84667 and 84678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84667 and 84678.

How to find the GCF of 84667 and 84678?

We will first find the prime factorization of 84667 and 84678. After we will calculate the factors of 84667 and 84678 and find the biggest common factor number .

Step-1: Prime Factorization of 84667

Prime factors of 84667 are 11, 43, 179. Prime factorization of 84667 in exponential form is:

84667 = 11¹ × 43¹ × 179¹

Step-2: Prime Factorization of 84678

Prime factors of 84678 are 2, 3, 11, 1283. Prime factorization of 84678 in exponential form is:

84678 = 2¹ × 3¹ × 11¹ × 1283¹

Step-3: Factors of 84667

List of positive integer factors of 84667 that divides 84667 without a remainder.

1, 11, 43, 179, 473, 1969, 7697

Step-4: Factors of 84678

List of positive integer factors of 84678 that divides 84667 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1283, 2566, 3849, 7698, 14113, 28226, 42339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84667 and 84678. The biggest common factor number is the GCF number.
So the greatest common factor 84667 and 84678 is 11.

Also check out the Least Common Multiple of 84667 and 84678