What is the Greatest Common Factor of 82425 and 82435?

Greatest common factor (GCF) of 82425 and 82435 is 5.

GCF(82425,82435) = 5

We will now calculate the prime factors of 82425 and 82435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82425 and 82435.

How to find the GCF of 82425 and 82435?

We will first find the prime factorization of 82425 and 82435. After we will calculate the factors of 82425 and 82435 and find the biggest common factor number .

Step-1: Prime Factorization of 82425

Prime factors of 82425 are 3, 5, 7, 157. Prime factorization of 82425 in exponential form is:

82425 = 3¹ × 5² × 7¹ × 157¹

Step-2: Prime Factorization of 82435

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

82435 = 5¹ × 16487¹

Step-3: Factors of 82425

List of positive integer factors of 82425 that divides 82425 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 157, 175, 471, 525, 785, 1099, 2355, 3297, 3925, 5495, 11775, 16485, 27475

Step-4: Factors of 82435

List of positive integer factors of 82435 that divides 82425 without a remainder.

1, 5, 16487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82425 and 82435. The biggest common factor number is the GCF number.
So the greatest common factor 82425 and 82435 is 5.

Also check out the Least Common Multiple of 82425 and 82435