What is the Greatest Common Factor of 84534 and 84538?

Greatest common factor (GCF) of 84534 and 84538 is 2.

GCF(84534,84538) = 2

We will now calculate the prime factors of 84534 and 84538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84534 and 84538.

How to find the GCF of 84534 and 84538?

We will first find the prime factorization of 84534 and 84538. After we will calculate the factors of 84534 and 84538 and find the biggest common factor number .

Step-1: Prime Factorization of 84534

Prime factors of 84534 are 2, 3, 73, 193. Prime factorization of 84534 in exponential form is:

84534 = 2¹ × 3¹ × 73¹ × 193¹

Step-2: Prime Factorization of 84538

Prime factors of 84538 are 2, 43, 983. Prime factorization of 84538 in exponential form is:

84538 = 2¹ × 43¹ × 983¹

Step-3: Factors of 84534

List of positive integer factors of 84534 that divides 84534 without a remainder.

1, 2, 3, 6, 73, 146, 193, 219, 386, 438, 579, 1158, 14089, 28178, 42267

Step-4: Factors of 84538

List of positive integer factors of 84538 that divides 84534 without a remainder.

1, 2, 43, 86, 983, 1966, 42269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84534 and 84538. The biggest common factor number is the GCF number.
So the greatest common factor 84534 and 84538 is 2.

Also check out the Least Common Multiple of 84534 and 84538