What is the Greatest Common Factor of 85260 and 85274?

Greatest common factor (GCF) of 85260 and 85274 is 14.

GCF(85260,85274) = 14

We will now calculate the prime factors of 85260 and 85274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85260 and 85274.

How to find the GCF of 85260 and 85274?

We will first find the prime factorization of 85260 and 85274. After we will calculate the factors of 85260 and 85274 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 85274

Prime factors of 85274 are 2, 7, 6091. Prime factorization of 85274 in exponential form is:

85274 = 2¹ × 7¹ × 6091¹

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 85274

List of positive integer factors of 85274 that divides 85260 without a remainder.

1, 2, 7, 14, 6091, 12182, 42637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85260 and 85274. The biggest common factor number is the GCF number.
So the greatest common factor 85260 and 85274 is 14.

Also check out the Least Common Multiple of 85260 and 85274