What is the Greatest Common Factor of 61299 and 61309?

Greatest common factor (GCF) of 61299 and 61309 is 1.

GCF(61299,61309) = 1

We will now calculate the prime factors of 61299 and 61309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61299 and 61309.

How to find the GCF of 61299 and 61309?

We will first find the prime factorization of 61299 and 61309. After we will calculate the factors of 61299 and 61309 and find the biggest common factor number .

Step-1: Prime Factorization of 61299

Prime factors of 61299 are 3, 7, 139. Prime factorization of 61299 in exponential form is:

61299 = 3² × 7² × 139¹

Step-2: Prime Factorization of 61309

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

61309 = 37¹ × 1657¹

Step-3: Factors of 61299

List of positive integer factors of 61299 that divides 61299 without a remainder.

1, 3, 7, 9, 21, 49, 63, 139, 147, 417, 441, 973, 1251, 2919, 6811, 8757, 20433

Step-4: Factors of 61309

List of positive integer factors of 61309 that divides 61299 without a remainder.

1, 37, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61299 and 61309. The biggest common factor number is the GCF number.
So the greatest common factor 61299 and 61309 is 1.

Also check out the Least Common Multiple of 61299 and 61309