What is the Greatest Common Factor of 84594 and 84612?

Greatest common factor (GCF) of 84594 and 84612 is 6.

GCF(84594,84612) = 6

We will now calculate the prime factors of 84594 and 84612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84594 and 84612.

How to find the GCF of 84594 and 84612?

We will first find the prime factorization of 84594 and 84612. After we will calculate the factors of 84594 and 84612 and find the biggest common factor number .

Step-1: Prime Factorization of 84594

Prime factors of 84594 are 2, 3, 23, 613. Prime factorization of 84594 in exponential form is:

84594 = 2¹ × 3¹ × 23¹ × 613¹

Step-2: Prime Factorization of 84612

Prime factors of 84612 are 2, 3, 11, 641. Prime factorization of 84612 in exponential form is:

84612 = 2² × 3¹ × 11¹ × 641¹

Step-3: Factors of 84594

List of positive integer factors of 84594 that divides 84594 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 613, 1226, 1839, 3678, 14099, 28198, 42297

Step-4: Factors of 84612

List of positive integer factors of 84612 that divides 84594 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 641, 1282, 1923, 2564, 3846, 7051, 7692, 14102, 21153, 28204, 42306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84594 and 84612. The biggest common factor number is the GCF number.
So the greatest common factor 84594 and 84612 is 6.

Also check out the Least Common Multiple of 84594 and 84612