What is the Greatest Common Factor of 82450 and 82465?

Greatest common factor (GCF) of 82450 and 82465 is 5.

GCF(82450,82465) = 5

We will now calculate the prime factors of 82450 and 82465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82450 and 82465.

How to find the GCF of 82450 and 82465?

We will first find the prime factorization of 82450 and 82465. After we will calculate the factors of 82450 and 82465 and find the biggest common factor number .

Step-1: Prime Factorization of 82450

Prime factors of 82450 are 2, 5, 17, 97. Prime factorization of 82450 in exponential form is:

82450 = 2¹ × 5² × 17¹ × 97¹

Step-2: Prime Factorization of 82465

Prime factors of 82465 are 5, 16493. Prime factorization of 82465 in exponential form is:

82465 = 5¹ × 16493¹

Step-3: Factors of 82450

List of positive integer factors of 82450 that divides 82450 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 97, 170, 194, 425, 485, 850, 970, 1649, 2425, 3298, 4850, 8245, 16490, 41225

Step-4: Factors of 82465

List of positive integer factors of 82465 that divides 82450 without a remainder.

1, 5, 16493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82450 and 82465. The biggest common factor number is the GCF number.
So the greatest common factor 82450 and 82465 is 5.

Also check out the Least Common Multiple of 82450 and 82465