What is the Greatest Common Factor of 82490 and 82510?

Greatest common factor (GCF) of 82490 and 82510 is 10.

GCF(82490,82510) = 10

We will now calculate the prime factors of 82490 and 82510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82490 and 82510.

How to find the GCF of 82490 and 82510?

We will first find the prime factorization of 82490 and 82510. After we will calculate the factors of 82490 and 82510 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 82510

Prime factors of 82510 are 2, 5, 37, 223. Prime factorization of 82510 in exponential form is:

82510 = 2¹ × 5¹ × 37¹ × 223¹

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 82510

List of positive integer factors of 82510 that divides 82490 without a remainder.

1, 2, 5, 10, 37, 74, 185, 223, 370, 446, 1115, 2230, 8251, 16502, 41255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82490 and 82510. The biggest common factor number is the GCF number.
So the greatest common factor 82490 and 82510 is 10.

Also check out the Least Common Multiple of 82490 and 82510