What is the Greatest Common Factor of 82450 and 82464?

Greatest common factor (GCF) of 82450 and 82464 is 2.

GCF(82450,82464) = 2

We will now calculate the prime factors of 82450 and 82464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82450 and 82464.

How to find the GCF of 82450 and 82464?

We will first find the prime factorization of 82450 and 82464. After we will calculate the factors of 82450 and 82464 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 82464

Prime factors of 82464 are 2, 3, 859. Prime factorization of 82464 in exponential form is:

82464 = 2⁵ × 3¹ × 859¹

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 82464

List of positive integer factors of 82464 that divides 82450 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 859, 1718, 2577, 3436, 5154, 6872, 10308, 13744, 20616, 27488, 41232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82450 and 82464. The biggest common factor number is the GCF number.
So the greatest common factor 82450 and 82464 is 2.

Also check out the Least Common Multiple of 82450 and 82464