What is the Greatest Common Factor of 82534 and 82544?

Greatest common factor (GCF) of 82534 and 82544 is 2.

GCF(82534,82544) = 2

We will now calculate the prime factors of 82534 and 82544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82534 and 82544.

How to find the GCF of 82534 and 82544?

We will first find the prime factorization of 82534 and 82544. After we will calculate the factors of 82534 and 82544 and find the biggest common factor number .

Step-1: Prime Factorization of 82534

Prime factors of 82534 are 2, 29, 1423. Prime factorization of 82534 in exponential form is:

82534 = 2¹ × 29¹ × 1423¹

Step-2: Prime Factorization of 82544

Prime factors of 82544 are 2, 7, 11, 67. Prime factorization of 82544 in exponential form is:

82544 = 2⁴ × 7¹ × 11¹ × 67¹

Step-3: Factors of 82534

List of positive integer factors of 82534 that divides 82534 without a remainder.

1, 2, 29, 58, 1423, 2846, 41267

Step-4: Factors of 82544

List of positive integer factors of 82544 that divides 82534 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 67, 77, 88, 112, 134, 154, 176, 268, 308, 469, 536, 616, 737, 938, 1072, 1232, 1474, 1876, 2948, 3752, 5159, 5896, 7504, 10318, 11792, 20636, 41272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82534 and 82544. The biggest common factor number is the GCF number.
So the greatest common factor 82534 and 82544 is 2.

Also check out the Least Common Multiple of 82534 and 82544