What is the Greatest Common Factor of 61321 and 61327?

Greatest common factor (GCF) of 61321 and 61327 is 1.

GCF(61321,61327) = 1

We will now calculate the prime factors of 61321 and 61327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61321 and 61327.

How to find the GCF of 61321 and 61327?

We will first find the prime factorization of 61321 and 61327. After we will calculate the factors of 61321 and 61327 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61327

Prime factors of 61327 are 7, 8761. Prime factorization of 61327 in exponential form is:

61327 = 7¹ × 8761¹

Step-3: Factors of 61321

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

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

Step-4: Factors of 61327

List of positive integer factors of 61327 that divides 61321 without a remainder.

1, 7, 8761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61321 and 61327. The biggest common factor number is the GCF number.
So the greatest common factor 61321 and 61327 is 1.

Also check out the Least Common Multiple of 61321 and 61327