What is the Greatest Common Factor of 82490 and 82498?

Greatest common factor (GCF) of 82490 and 82498 is 2.

GCF(82490,82498) = 2

We will now calculate the prime factors of 82490 and 82498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82490 and 82498.

How to find the GCF of 82490 and 82498?

We will first find the prime factorization of 82490 and 82498. After we will calculate the factors of 82490 and 82498 and find the biggest common factor number .

Step-1: Prime Factorization of 82490

Prime factors of 82490 are 2, 5, 73, 113. Prime factorization of 82490 in exponential form is:

82490 = 2¹ × 5¹ × 73¹ × 113¹

Step-2: Prime Factorization of 82498

Prime factors of 82498 are 2, 13, 19, 167. Prime factorization of 82498 in exponential form is:

82498 = 2¹ × 13¹ × 19¹ × 167¹

Step-3: Factors of 82490

List of positive integer factors of 82490 that divides 82490 without a remainder.

1, 2, 5, 10, 73, 113, 146, 226, 365, 565, 730, 1130, 8249, 16498, 41245

Step-4: Factors of 82498

List of positive integer factors of 82498 that divides 82490 without a remainder.

1, 2, 13, 19, 26, 38, 167, 247, 334, 494, 2171, 3173, 4342, 6346, 41249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82490 and 82498. The biggest common factor number is the GCF number.
So the greatest common factor 82490 and 82498 is 2.

Also check out the Least Common Multiple of 82490 and 82498