What is the Greatest Common Factor of 68574 and 68587?

Greatest common factor (GCF) of 68574 and 68587 is 1.

GCF(68574,68587) = 1

We will now calculate the prime factors of 68574 and 68587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68574 and 68587.

How to find the GCF of 68574 and 68587?

We will first find the prime factorization of 68574 and 68587. After we will calculate the factors of 68574 and 68587 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 68587

Prime factors of 68587 are 107, 641. Prime factorization of 68587 in exponential form is:

68587 = 107¹ × 641¹

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 68587

List of positive integer factors of 68587 that divides 68574 without a remainder.

1, 107, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68574 and 68587. The biggest common factor number is the GCF number.
So the greatest common factor 68574 and 68587 is 1.

Also check out the Least Common Multiple of 68574 and 68587