What is the Greatest Common Factor of 82515 and 82535?

Greatest common factor (GCF) of 82515 and 82535 is 5.

GCF(82515,82535) = 5

We will now calculate the prime factors of 82515 and 82535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82515 and 82535.

How to find the GCF of 82515 and 82535?

We will first find the prime factorization of 82515 and 82535. After we will calculate the factors of 82515 and 82535 and find the biggest common factor number .

Step-1: Prime Factorization of 82515

Prime factors of 82515 are 3, 5, 5501. Prime factorization of 82515 in exponential form is:

82515 = 3¹ × 5¹ × 5501¹

Step-2: Prime Factorization of 82535

Prime factors of 82535 are 5, 17, 971. Prime factorization of 82535 in exponential form is:

82535 = 5¹ × 17¹ × 971¹

Step-3: Factors of 82515

List of positive integer factors of 82515 that divides 82515 without a remainder.

1, 3, 5, 15, 5501, 16503, 27505

Step-4: Factors of 82535

List of positive integer factors of 82535 that divides 82515 without a remainder.

1, 5, 17, 85, 971, 4855, 16507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82515 and 82535. The biggest common factor number is the GCF number.
So the greatest common factor 82515 and 82535 is 5.

Also check out the Least Common Multiple of 82515 and 82535