What is the Greatest Common Factor of 61306 and 61322?

Greatest common factor (GCF) of 61306 and 61322 is 2.

GCF(61306,61322) = 2

We will now calculate the prime factors of 61306 and 61322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61306 and 61322.

How to find the GCF of 61306 and 61322?

We will first find the prime factorization of 61306 and 61322. After we will calculate the factors of 61306 and 61322 and find the biggest common factor number .

Step-1: Prime Factorization of 61306

Prime factors of 61306 are 2, 7, 29, 151. Prime factorization of 61306 in exponential form is:

61306 = 2¹ × 7¹ × 29¹ × 151¹

Step-2: Prime Factorization of 61322

Prime factors of 61322 are 2, 30661. Prime factorization of 61322 in exponential form is:

61322 = 2¹ × 30661¹

Step-3: Factors of 61306

List of positive integer factors of 61306 that divides 61306 without a remainder.

1, 2, 7, 14, 29, 58, 151, 203, 302, 406, 1057, 2114, 4379, 8758, 30653

Step-4: Factors of 61322

List of positive integer factors of 61322 that divides 61306 without a remainder.

1, 2, 30661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61306 and 61322. The biggest common factor number is the GCF number.
So the greatest common factor 61306 and 61322 is 2.

Also check out the Least Common Multiple of 61306 and 61322