What is the Greatest Common Factor of 85280 and 85284?

Greatest common factor (GCF) of 85280 and 85284 is 4.

GCF(85280,85284) = 4

We will now calculate the prime factors of 85280 and 85284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85280 and 85284.

How to find the GCF of 85280 and 85284?

We will first find the prime factorization of 85280 and 85284. After we will calculate the factors of 85280 and 85284 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 85284

Prime factors of 85284 are 2, 3, 23, 103. Prime factorization of 85284 in exponential form is:

85284 = 2² × 3² × 23¹ × 103¹

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 85284

List of positive integer factors of 85284 that divides 85280 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 103, 138, 206, 207, 276, 309, 412, 414, 618, 828, 927, 1236, 1854, 2369, 3708, 4738, 7107, 9476, 14214, 21321, 28428, 42642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85280 and 85284. The biggest common factor number is the GCF number.
So the greatest common factor 85280 and 85284 is 4.

Also check out the Least Common Multiple of 85280 and 85284