What is the Greatest Common Factor of 61301 and 61321?

Greatest common factor (GCF) of 61301 and 61321 is 1.

GCF(61301,61321) = 1

We will now calculate the prime factors of 61301 and 61321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61301 and 61321.

How to find the GCF of 61301 and 61321?

We will first find the prime factorization of 61301 and 61321. After we will calculate the factors of 61301 and 61321 and find the biggest common factor number .

Step-1: Prime Factorization of 61301

Prime factors of 61301 are 59, 1039. Prime factorization of 61301 in exponential form is:

61301 = 59¹ × 1039¹

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 61301

List of positive integer factors of 61301 that divides 61301 without a remainder.

1, 59, 1039

Step-4: Factors of 61321

List of positive integer factors of 61321 that divides 61301 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61301 and 61321. The biggest common factor number is the GCF number.
So the greatest common factor 61301 and 61321 is 1.

Also check out the Least Common Multiple of 61301 and 61321