What is the Greatest Common Factor of 85260 and 85279?

Greatest common factor (GCF) of 85260 and 85279 is 1.

GCF(85260,85279) = 1

We will now calculate the prime factors of 85260 and 85279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85260 and 85279.

How to find the GCF of 85260 and 85279?

We will first find the prime factorization of 85260 and 85279. After we will calculate the factors of 85260 and 85279 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 85279

Prime factors of 85279 are 107, 797. Prime factorization of 85279 in exponential form is:

85279 = 107¹ × 797¹

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 85279

List of positive integer factors of 85279 that divides 85260 without a remainder.

1, 107, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85260 and 85279. The biggest common factor number is the GCF number.
So the greatest common factor 85260 and 85279 is 1.

Also check out the Least Common Multiple of 85260 and 85279