What is the Greatest Common Factor of 82435 and 82450?

Greatest common factor (GCF) of 82435 and 82450 is 5.

GCF(82435,82450) = 5

We will now calculate the prime factors of 82435 and 82450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82435 and 82450.

How to find the GCF of 82435 and 82450?

We will first find the prime factorization of 82435 and 82450. After we will calculate the factors of 82435 and 82450 and find the biggest common factor number .

Step-1: Prime Factorization of 82435

Prime factors of 82435 are 5, 16487. Prime factorization of 82435 in exponential form is:

82435 = 5¹ × 16487¹

Step-2: 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-3: Factors of 82435

List of positive integer factors of 82435 that divides 82435 without a remainder.

1, 5, 16487

Step-4: Factors of 82450

List of positive integer factors of 82450 that divides 82435 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82435 and 82450. The biggest common factor number is the GCF number.
So the greatest common factor 82435 and 82450 is 5.

Also check out the Least Common Multiple of 82435 and 82450