What is the Greatest Common Factor of 85294 and 85305?

Greatest common factor (GCF) of 85294 and 85305 is 11.

GCF(85294,85305) = 11

We will now calculate the prime factors of 85294 and 85305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85294 and 85305.

How to find the GCF of 85294 and 85305?

We will first find the prime factorization of 85294 and 85305. After we will calculate the factors of 85294 and 85305 and find the biggest common factor number .

Step-1: Prime Factorization of 85294

Prime factors of 85294 are 2, 11, 3877. Prime factorization of 85294 in exponential form is:

85294 = 2¹ × 11¹ × 3877¹

Step-2: Prime Factorization of 85305

Prime factors of 85305 are 3, 5, 11, 47. Prime factorization of 85305 in exponential form is:

85305 = 3¹ × 5¹ × 11² × 47¹

Step-3: Factors of 85294

List of positive integer factors of 85294 that divides 85294 without a remainder.

1, 2, 11, 22, 3877, 7754, 42647

Step-4: Factors of 85305

List of positive integer factors of 85305 that divides 85294 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 121, 141, 165, 235, 363, 517, 605, 705, 1551, 1815, 2585, 5687, 7755, 17061, 28435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85294 and 85305. The biggest common factor number is the GCF number.
So the greatest common factor 85294 and 85305 is 11.

Also check out the Least Common Multiple of 85294 and 85305