What is the Greatest Common Factor of 68565 and 68574?

Greatest common factor (GCF) of 68565 and 68574 is 3.

GCF(68565,68574) = 3

We will now calculate the prime factors of 68565 and 68574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68565 and 68574.

How to find the GCF of 68565 and 68574?

We will first find the prime factorization of 68565 and 68574. After we will calculate the factors of 68565 and 68574 and find the biggest common factor number .

Step-1: Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 3¹ × 5¹ × 7¹ × 653¹

Step-2: 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-3: Factors of 68565

List of positive integer factors of 68565 that divides 68565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 653, 1959, 3265, 4571, 9795, 13713, 22855

Step-4: Factors of 68574

List of positive integer factors of 68574 that divides 68565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68565 and 68574. The biggest common factor number is the GCF number.
So the greatest common factor 68565 and 68574 is 3.

Also check out the Least Common Multiple of 68565 and 68574