What is the Greatest Common Factor of 82420 and 82435?

Greatest common factor (GCF) of 82420 and 82435 is 5.

GCF(82420,82435) = 5

We will now calculate the prime factors of 82420 and 82435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82420 and 82435.

How to find the GCF of 82420 and 82435?

We will first find the prime factorization of 82420 and 82435. After we will calculate the factors of 82420 and 82435 and find the biggest common factor number .

Step-1: Prime Factorization of 82420

Prime factors of 82420 are 2, 5, 13, 317. Prime factorization of 82420 in exponential form is:

82420 = 2² × 5¹ × 13¹ × 317¹

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 82420

List of positive integer factors of 82420 that divides 82420 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 317, 634, 1268, 1585, 3170, 4121, 6340, 8242, 16484, 20605, 41210

Step-4: Factors of 82435

List of positive integer factors of 82435 that divides 82420 without a remainder.

1, 5, 16487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82420 and 82435. The biggest common factor number is the GCF number.
So the greatest common factor 82420 and 82435 is 5.

Also check out the Least Common Multiple of 82420 and 82435