What is the Greatest Common Factor of 84601 and 84612?

Greatest common factor (GCF) of 84601 and 84612 is 11.

GCF(84601,84612) = 11

We will now calculate the prime factors of 84601 and 84612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84601 and 84612.

How to find the GCF of 84601 and 84612?

We will first find the prime factorization of 84601 and 84612. After we will calculate the factors of 84601 and 84612 and find the biggest common factor number .

Step-1: Prime Factorization of 84601

Prime factors of 84601 are 11, 7691. Prime factorization of 84601 in exponential form is:

84601 = 11¹ × 7691¹

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 84601

List of positive integer factors of 84601 that divides 84601 without a remainder.

1, 11, 7691

Step-4: Factors of 84612

List of positive integer factors of 84612 that divides 84601 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 84601 and 84612. The biggest common factor number is the GCF number.
So the greatest common factor 84601 and 84612 is 11.

Also check out the Least Common Multiple of 84601 and 84612