What is the Greatest Common Factor of 80523 and 80528?

Greatest common factor (GCF) of 80523 and 80528 is 1.

GCF(80523,80528) = 1

We will now calculate the prime factors of 80523 and 80528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80523 and 80528.

How to find the GCF of 80523 and 80528?

We will first find the prime factorization of 80523 and 80528. After we will calculate the factors of 80523 and 80528 and find the biggest common factor number .

Step-1: Prime Factorization of 80523

Prime factors of 80523 are 3, 23, 389. Prime factorization of 80523 in exponential form is:

80523 = 3² × 23¹ × 389¹

Step-2: Prime Factorization of 80528

Prime factors of 80528 are 2, 7, 719. Prime factorization of 80528 in exponential form is:

80528 = 2⁴ × 7¹ × 719¹

Step-3: Factors of 80523

List of positive integer factors of 80523 that divides 80523 without a remainder.

1, 3, 9, 23, 69, 207, 389, 1167, 3501, 8947, 26841

Step-4: Factors of 80528

List of positive integer factors of 80528 that divides 80523 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 719, 1438, 2876, 5033, 5752, 10066, 11504, 20132, 40264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80523 and 80528. The biggest common factor number is the GCF number.
So the greatest common factor 80523 and 80528 is 1.

Also check out the Least Common Multiple of 80523 and 80528