What is the Greatest Common Factor of 85280 and 85290?

Greatest common factor (GCF) of 85280 and 85290 is 10.

GCF(85280,85290) = 10

We will now calculate the prime factors of 85280 and 85290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85280 and 85290.

How to find the GCF of 85280 and 85290?

We will first find the prime factorization of 85280 and 85290. After we will calculate the factors of 85280 and 85290 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 85290

Prime factors of 85290 are 2, 3, 5, 2843. Prime factorization of 85290 in exponential form is:

85290 = 2¹ × 3¹ × 5¹ × 2843¹

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 85290

List of positive integer factors of 85290 that divides 85280 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2843, 5686, 8529, 14215, 17058, 28430, 42645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85280 and 85290. The biggest common factor number is the GCF number.
So the greatest common factor 85280 and 85290 is 10.

Also check out the Least Common Multiple of 85280 and 85290