What is the Greatest Common Factor of 85260 and 85269?

Greatest common factor (GCF) of 85260 and 85269 is 3.

GCF(85260,85269) = 3

We will now calculate the prime factors of 85260 and 85269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85260 and 85269.

How to find the GCF of 85260 and 85269?

We will first find the prime factorization of 85260 and 85269. After we will calculate the factors of 85260 and 85269 and find the biggest common factor number .

Step-1: Prime Factorization of 85260

Prime factors of 85260 are 2, 3, 5, 7, 29. Prime factorization of 85260 in exponential form is:

85260 = 2² × 3¹ × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 85269

Prime factors of 85269 are 3, 43, 661. Prime factorization of 85269 in exponential form is:

85269 = 3¹ × 43¹ × 661¹

Step-3: Factors of 85260

List of positive integer factors of 85260 that divides 85260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 49, 58, 60, 70, 84, 87, 98, 105, 116, 140, 145, 147, 174, 196, 203, 210, 245, 290, 294, 348, 406, 420, 435, 490, 580, 588, 609, 735, 812, 870, 980, 1015, 1218, 1421, 1470, 1740, 2030, 2436, 2842, 2940, 3045, 4060, 4263, 5684, 6090, 7105, 8526, 12180, 14210, 17052, 21315, 28420, 42630

Step-4: Factors of 85269

List of positive integer factors of 85269 that divides 85260 without a remainder.

1, 3, 43, 129, 661, 1983, 28423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85260 and 85269. The biggest common factor number is the GCF number.
So the greatest common factor 85260 and 85269 is 3.

Also check out the Least Common Multiple of 85260 and 85269