What is the Greatest Common Factor of 80528 and 80544?

Greatest common factor (GCF) of 80528 and 80544 is 16.

GCF(80528,80544) = 16

We will now calculate the prime factors of 80528 and 80544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80528 and 80544.

How to find the GCF of 80528 and 80544?

We will first find the prime factorization of 80528 and 80544. After we will calculate the factors of 80528 and 80544 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80544

Prime factors of 80544 are 2, 3, 839. Prime factorization of 80544 in exponential form is:

80544 = 2⁵ × 3¹ × 839¹

Step-3: Factors of 80528

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

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

Step-4: Factors of 80544

List of positive integer factors of 80544 that divides 80528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 839, 1678, 2517, 3356, 5034, 6712, 10068, 13424, 20136, 26848, 40272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80528 and 80544. The biggest common factor number is the GCF number.
So the greatest common factor 80528 and 80544 is 16.

Also check out the Least Common Multiple of 80528 and 80544