What is the Greatest Common Factor of 84664 and 84674?

Greatest common factor (GCF) of 84664 and 84674 is 2.

GCF(84664,84674) = 2

We will now calculate the prime factors of 84664 and 84674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84664 and 84674.

How to find the GCF of 84664 and 84674?

We will first find the prime factorization of 84664 and 84674. After we will calculate the factors of 84664 and 84674 and find the biggest common factor number .

Step-1: Prime Factorization of 84664

Prime factors of 84664 are 2, 19, 557. Prime factorization of 84664 in exponential form is:

84664 = 2³ × 19¹ × 557¹

Step-2: Prime Factorization of 84674

Prime factors of 84674 are 2, 42337. Prime factorization of 84674 in exponential form is:

84674 = 2¹ × 42337¹

Step-3: Factors of 84664

List of positive integer factors of 84664 that divides 84664 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 557, 1114, 2228, 4456, 10583, 21166, 42332

Step-4: Factors of 84674

List of positive integer factors of 84674 that divides 84664 without a remainder.

1, 2, 42337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84664 and 84674. The biggest common factor number is the GCF number.
So the greatest common factor 84664 and 84674 is 2.

Also check out the Least Common Multiple of 84664 and 84674