What is the Greatest Common Factor of 84612 and 84622?

Greatest common factor (GCF) of 84612 and 84622 is 2.

GCF(84612,84622) = 2

We will now calculate the prime factors of 84612 and 84622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84612 and 84622.

How to find the GCF of 84612 and 84622?

We will first find the prime factorization of 84612 and 84622. After we will calculate the factors of 84612 and 84622 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 84622

Prime factors of 84622 are 2, 29, 1459. Prime factorization of 84622 in exponential form is:

84622 = 2¹ × 29¹ × 1459¹

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 84622

List of positive integer factors of 84622 that divides 84612 without a remainder.

1, 2, 29, 58, 1459, 2918, 42311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84612 and 84622. The biggest common factor number is the GCF number.
So the greatest common factor 84612 and 84622 is 2.

Also check out the Least Common Multiple of 84612 and 84622