What is the Greatest Common Factor of 82618 and 82634?

Greatest common factor (GCF) of 82618 and 82634 is 2.

GCF(82618,82634) = 2

We will now calculate the prime factors of 82618 and 82634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82618 and 82634.

How to find the GCF of 82618 and 82634?

We will first find the prime factorization of 82618 and 82634. After we will calculate the factors of 82618 and 82634 and find the biggest common factor number .

Step-1: Prime Factorization of 82618

Prime factors of 82618 are 2, 101, 409. Prime factorization of 82618 in exponential form is:

82618 = 2¹ × 101¹ × 409¹

Step-2: Prime Factorization of 82634

Prime factors of 82634 are 2, 79, 523. Prime factorization of 82634 in exponential form is:

82634 = 2¹ × 79¹ × 523¹

Step-3: Factors of 82618

List of positive integer factors of 82618 that divides 82618 without a remainder.

1, 2, 101, 202, 409, 818, 41309

Step-4: Factors of 82634

List of positive integer factors of 82634 that divides 82618 without a remainder.

1, 2, 79, 158, 523, 1046, 41317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82618 and 82634. The biggest common factor number is the GCF number.
So the greatest common factor 82618 and 82634 is 2.

Also check out the Least Common Multiple of 82618 and 82634