What is the Greatest Common Factor of 85280 and 85285?

Greatest common factor (GCF) of 85280 and 85285 is 5.

GCF(85280,85285) = 5

We will now calculate the prime factors of 85280 and 85285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85280 and 85285.

How to find the GCF of 85280 and 85285?

We will first find the prime factorization of 85280 and 85285. After we will calculate the factors of 85280 and 85285 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 85285

Prime factors of 85285 are 5, 37, 461. Prime factorization of 85285 in exponential form is:

85285 = 5¹ × 37¹ × 461¹

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 85285

List of positive integer factors of 85285 that divides 85280 without a remainder.

1, 5, 37, 185, 461, 2305, 17057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85280 and 85285. The biggest common factor number is the GCF number.
So the greatest common factor 85280 and 85285 is 5.

Also check out the Least Common Multiple of 85280 and 85285