What is the Greatest Common Factor of 61306 and 61321?

Greatest common factor (GCF) of 61306 and 61321 is 1.

GCF(61306,61321) = 1

We will now calculate the prime factors of 61306 and 61321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61306 and 61321.

How to find the GCF of 61306 and 61321?

We will first find the prime factorization of 61306 and 61321. After we will calculate the factors of 61306 and 61321 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 61321

Prime factors of 61321 are 13, 53, 89. Prime factorization of 61321 in exponential form is:

61321 = 13¹ × 53¹ × 89¹

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 61321

List of positive integer factors of 61321 that divides 61306 without a remainder.

1, 13, 53, 89, 689, 1157, 4717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61306 and 61321. The biggest common factor number is the GCF number.
So the greatest common factor 61306 and 61321 is 1.

Also check out the Least Common Multiple of 61306 and 61321