What is the Greatest Common Factor of 82524 and 82540?

Greatest common factor (GCF) of 82524 and 82540 is 4.

GCF(82524,82540) = 4

We will now calculate the prime factors of 82524 and 82540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82524 and 82540.

How to find the GCF of 82524 and 82540?

We will first find the prime factorization of 82524 and 82540. After we will calculate the factors of 82524 and 82540 and find the biggest common factor number .

Step-1: Prime Factorization of 82524

Prime factors of 82524 are 2, 3, 13, 23. Prime factorization of 82524 in exponential form is:

82524 = 2² × 3¹ × 13¹ × 23²

Step-2: Prime Factorization of 82540

Prime factors of 82540 are 2, 5, 4127. Prime factorization of 82540 in exponential form is:

82540 = 2² × 5¹ × 4127¹

Step-3: Factors of 82524

List of positive integer factors of 82524 that divides 82524 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 529, 598, 897, 1058, 1196, 1587, 1794, 2116, 3174, 3588, 6348, 6877, 13754, 20631, 27508, 41262

Step-4: Factors of 82540

List of positive integer factors of 82540 that divides 82524 without a remainder.

1, 2, 4, 5, 10, 20, 4127, 8254, 16508, 20635, 41270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82524 and 82540. The biggest common factor number is the GCF number.
So the greatest common factor 82524 and 82540 is 4.

Also check out the Least Common Multiple of 82524 and 82540