What is the Greatest Common Factor of 84612 and 84623?

Greatest common factor (GCF) of 84612 and 84623 is 11.

GCF(84612,84623) = 11

We will now calculate the prime factors of 84612 and 84623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84612 and 84623.

How to find the GCF of 84612 and 84623?

We will first find the prime factorization of 84612 and 84623. After we will calculate the factors of 84612 and 84623 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84623

Prime factors of 84623 are 7, 11, 157. Prime factorization of 84623 in exponential form is:

84623 = 7² × 11¹ × 157¹

Step-3: Factors of 84612

List of positive integer factors of 84612 that divides 84612 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

Step-4: Factors of 84623

List of positive integer factors of 84623 that divides 84612 without a remainder.

1, 7, 11, 49, 77, 157, 539, 1099, 1727, 7693, 12089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84612 and 84623. The biggest common factor number is the GCF number.
So the greatest common factor 84612 and 84623 is 11.

Also check out the Least Common Multiple of 84612 and 84623