What is the Greatest Common Factor of 84522 and 84538?

Greatest common factor (GCF) of 84522 and 84538 is 2.

GCF(84522,84538) = 2

We will now calculate the prime factors of 84522 and 84538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84522 and 84538.

How to find the GCF of 84522 and 84538?

We will first find the prime factorization of 84522 and 84538. After we will calculate the factors of 84522 and 84538 and find the biggest common factor number .

Step-1: Prime Factorization of 84522

Prime factors of 84522 are 2, 3, 14087. Prime factorization of 84522 in exponential form is:

84522 = 2¹ × 3¹ × 14087¹

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 84522

List of positive integer factors of 84522 that divides 84522 without a remainder.

1, 2, 3, 6, 14087, 28174, 42261

Step-4: Factors of 84538

List of positive integer factors of 84538 that divides 84522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84522 and 84538. The biggest common factor number is the GCF number.
So the greatest common factor 84522 and 84538 is 2.

Also check out the Least Common Multiple of 84522 and 84538