What is the Greatest Common Factor of 82435 and 82440?

Greatest common factor (GCF) of 82435 and 82440 is 5.

GCF(82435,82440) = 5

We will now calculate the prime factors of 82435 and 82440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82435 and 82440.

How to find the GCF of 82435 and 82440?

We will first find the prime factorization of 82435 and 82440. After we will calculate the factors of 82435 and 82440 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 82440

Prime factors of 82440 are 2, 3, 5, 229. Prime factorization of 82440 in exponential form is:

82440 = 2³ × 3² × 5¹ × 229¹

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 82440

List of positive integer factors of 82440 that divides 82435 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 229, 360, 458, 687, 916, 1145, 1374, 1832, 2061, 2290, 2748, 3435, 4122, 4580, 5496, 6870, 8244, 9160, 10305, 13740, 16488, 20610, 27480, 41220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82435 and 82440. The biggest common factor number is the GCF number.
So the greatest common factor 82435 and 82440 is 5.

Also check out the Least Common Multiple of 82435 and 82440