What is the Greatest Common Factor of 84538 and 84542?

Greatest common factor (GCF) of 84538 and 84542 is 2.

GCF(84538,84542) = 2

We will now calculate the prime factors of 84538 and 84542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84538 and 84542.

How to find the GCF of 84538 and 84542?

We will first find the prime factorization of 84538 and 84542. After we will calculate the factors of 84538 and 84542 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84542

Prime factors of 84542 are 2, 41, 1031. Prime factorization of 84542 in exponential form is:

84542 = 2¹ × 41¹ × 1031¹

Step-3: Factors of 84538

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

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

Step-4: Factors of 84542

List of positive integer factors of 84542 that divides 84538 without a remainder.

1, 2, 41, 82, 1031, 2062, 42271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84538 and 84542. The biggest common factor number is the GCF number.
So the greatest common factor 84538 and 84542 is 2.

Also check out the Least Common Multiple of 84538 and 84542