What is the Greatest Common Factor of 61309 and 61319?

Greatest common factor (GCF) of 61309 and 61319 is 1.

GCF(61309,61319) = 1

We will now calculate the prime factors of 61309 and 61319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61309 and 61319.

How to find the GCF of 61309 and 61319?

We will first find the prime factorization of 61309 and 61319. After we will calculate the factors of 61309 and 61319 and find the biggest common factor number .

Step-1: Prime Factorization of 61309

Prime factors of 61309 are 37, 1657. Prime factorization of 61309 in exponential form is:

61309 = 37¹ × 1657¹

Step-2: Prime Factorization of 61319

Prime factors of 61319 are 17, 3607. Prime factorization of 61319 in exponential form is:

61319 = 17¹ × 3607¹

Step-3: Factors of 61309

List of positive integer factors of 61309 that divides 61309 without a remainder.

1, 37, 1657

Step-4: Factors of 61319

List of positive integer factors of 61319 that divides 61309 without a remainder.

1, 17, 3607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61309 and 61319. The biggest common factor number is the GCF number.
So the greatest common factor 61309 and 61319 is 1.

Also check out the Least Common Multiple of 61309 and 61319