What is the Greatest Common Factor of 84546 and 84554?

Greatest common factor (GCF) of 84546 and 84554 is 2.

GCF(84546,84554) = 2

We will now calculate the prime factors of 84546 and 84554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84546 and 84554.

How to find the GCF of 84546 and 84554?

We will first find the prime factorization of 84546 and 84554. After we will calculate the factors of 84546 and 84554 and find the biggest common factor number .

Step-1: Prime Factorization of 84546

Prime factors of 84546 are 2, 3, 7, 11, 61. Prime factorization of 84546 in exponential form is:

84546 = 2¹ × 3² × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 84554

Prime factors of 84554 are 2, 67, 631. Prime factorization of 84554 in exponential form is:

84554 = 2¹ × 67¹ × 631¹

Step-3: Factors of 84546

List of positive integer factors of 84546 that divides 84546 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 61, 63, 66, 77, 99, 122, 126, 154, 183, 198, 231, 366, 427, 462, 549, 671, 693, 854, 1098, 1281, 1342, 1386, 2013, 2562, 3843, 4026, 4697, 6039, 7686, 9394, 12078, 14091, 28182, 42273

Step-4: Factors of 84554

List of positive integer factors of 84554 that divides 84546 without a remainder.

1, 2, 67, 134, 631, 1262, 42277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84546 and 84554. The biggest common factor number is the GCF number.
So the greatest common factor 84546 and 84554 is 2.

Also check out the Least Common Multiple of 84546 and 84554