What is the Greatest Common Factor of 68574 and 68585?

Greatest common factor (GCF) of 68574 and 68585 is 11.

GCF(68574,68585) = 11

We will now calculate the prime factors of 68574 and 68585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68574 and 68585.

How to find the GCF of 68574 and 68585?

We will first find the prime factorization of 68574 and 68585. After we will calculate the factors of 68574 and 68585 and find the biggest common factor number .

Step-1: Prime Factorization of 68574

Prime factors of 68574 are 2, 3, 11, 1039. Prime factorization of 68574 in exponential form is:

68574 = 2¹ × 3¹ × 11¹ × 1039¹

Step-2: Prime Factorization of 68585

Prime factors of 68585 are 5, 11, 29, 43. Prime factorization of 68585 in exponential form is:

68585 = 5¹ × 11¹ × 29¹ × 43¹

Step-3: Factors of 68574

List of positive integer factors of 68574 that divides 68574 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1039, 2078, 3117, 6234, 11429, 22858, 34287

Step-4: Factors of 68585

List of positive integer factors of 68585 that divides 68574 without a remainder.

1, 5, 11, 29, 43, 55, 145, 215, 319, 473, 1247, 1595, 2365, 6235, 13717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68574 and 68585. The biggest common factor number is the GCF number.
So the greatest common factor 68574 and 68585 is 11.

Also check out the Least Common Multiple of 68574 and 68585