What is the Greatest Common Factor of 82470 and 82490?

Greatest common factor (GCF) of 82470 and 82490 is 10.

GCF(82470,82490) = 10

We will now calculate the prime factors of 82470 and 82490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82470 and 82490.

How to find the GCF of 82470 and 82490?

We will first find the prime factorization of 82470 and 82490. After we will calculate the factors of 82470 and 82490 and find the biggest common factor number .

Step-1: Prime Factorization of 82470

Prime factors of 82470 are 2, 3, 5, 2749. Prime factorization of 82470 in exponential form is:

82470 = 2¹ × 3¹ × 5¹ × 2749¹

Step-2: 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-3: Factors of 82470

List of positive integer factors of 82470 that divides 82470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2749, 5498, 8247, 13745, 16494, 27490, 41235

Step-4: Factors of 82490

List of positive integer factors of 82490 that divides 82470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82470 and 82490. The biggest common factor number is the GCF number.
So the greatest common factor 82470 and 82490 is 10.

Also check out the Least Common Multiple of 82470 and 82490