What is the Greatest Common Factor of 85280 and 85300?

Greatest common factor (GCF) of 85280 and 85300 is 20.

GCF(85280,85300) = 20

We will now calculate the prime factors of 85280 and 85300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85280 and 85300.

How to find the GCF of 85280 and 85300?

We will first find the prime factorization of 85280 and 85300. After we will calculate the factors of 85280 and 85300 and find the biggest common factor number .

Step-1: Prime Factorization of 85280

Prime factors of 85280 are 2, 5, 13, 41. Prime factorization of 85280 in exponential form is:

85280 = 2⁵ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 85300

Prime factors of 85300 are 2, 5, 853. Prime factorization of 85300 in exponential form is:

85300 = 2² × 5² × 853¹

Step-3: Factors of 85280

List of positive integer factors of 85280 that divides 85280 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 41, 52, 65, 80, 82, 104, 130, 160, 164, 205, 208, 260, 328, 410, 416, 520, 533, 656, 820, 1040, 1066, 1312, 1640, 2080, 2132, 2665, 3280, 4264, 5330, 6560, 8528, 10660, 17056, 21320, 42640

Step-4: Factors of 85300

List of positive integer factors of 85300 that divides 85280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 853, 1706, 3412, 4265, 8530, 17060, 21325, 42650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85280 and 85300. The biggest common factor number is the GCF number.
So the greatest common factor 85280 and 85300 is 20.

Also check out the Least Common Multiple of 85280 and 85300