What is the Greatest Common Factor of 84654 and 84668?

Greatest common factor (GCF) of 84654 and 84668 is 2.

GCF(84654,84668) = 2

We will now calculate the prime factors of 84654 and 84668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84654 and 84668.

How to find the GCF of 84654 and 84668?

We will first find the prime factorization of 84654 and 84668. After we will calculate the factors of 84654 and 84668 and find the biggest common factor number .

Step-1: Prime Factorization of 84654

Prime factors of 84654 are 2, 3, 4703. Prime factorization of 84654 in exponential form is:

84654 = 2¹ × 3² × 4703¹

Step-2: Prime Factorization of 84668

Prime factors of 84668 are 2, 61, 347. Prime factorization of 84668 in exponential form is:

84668 = 2² × 61¹ × 347¹

Step-3: Factors of 84654

List of positive integer factors of 84654 that divides 84654 without a remainder.

1, 2, 3, 6, 9, 18, 4703, 9406, 14109, 28218, 42327

Step-4: Factors of 84668

List of positive integer factors of 84668 that divides 84654 without a remainder.

1, 2, 4, 61, 122, 244, 347, 694, 1388, 21167, 42334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84654 and 84668. The biggest common factor number is the GCF number.
So the greatest common factor 84654 and 84668 is 2.

Also check out the Least Common Multiple of 84654 and 84668