What is the Greatest Common Factor of 82538 and 82546?

Greatest common factor (GCF) of 82538 and 82546 is 2.

GCF(82538,82546) = 2

We will now calculate the prime factors of 82538 and 82546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82538 and 82546.

How to find the GCF of 82538 and 82546?

We will first find the prime factorization of 82538 and 82546. After we will calculate the factors of 82538 and 82546 and find the biggest common factor number .

Step-1: Prime Factorization of 82538

Prime factors of 82538 are 2, 41269. Prime factorization of 82538 in exponential form is:

82538 = 2¹ × 41269¹

Step-2: Prime Factorization of 82546

Prime factors of 82546 are 2, 149, 277. Prime factorization of 82546 in exponential form is:

82546 = 2¹ × 149¹ × 277¹

Step-3: Factors of 82538

List of positive integer factors of 82538 that divides 82538 without a remainder.

1, 2, 41269

Step-4: Factors of 82546

List of positive integer factors of 82546 that divides 82538 without a remainder.

1, 2, 149, 277, 298, 554, 41273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82538 and 82546. The biggest common factor number is the GCF number.
So the greatest common factor 82538 and 82546 is 2.

Also check out the Least Common Multiple of 82538 and 82546