What is the Greatest Common Factor of 79350 and 79361?

Greatest common factor (GCF) of 79350 and 79361 is 1.

GCF(79350,79361) = 1

We will now calculate the prime factors of 79350 and 79361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79350 and 79361.

How to find the GCF of 79350 and 79361?

We will first find the prime factorization of 79350 and 79361. After we will calculate the factors of 79350 and 79361 and find the biggest common factor number .

Step-1: Prime Factorization of 79350

Prime factors of 79350 are 2, 3, 5, 23. Prime factorization of 79350 in exponential form is:

79350 = 2¹ × 3¹ × 5² × 23²

Step-2: Prime Factorization of 79361

Prime factors of 79361 are 61, 1301. Prime factorization of 79361 in exponential form is:

79361 = 61¹ × 1301¹

Step-3: Factors of 79350

List of positive integer factors of 79350 that divides 79350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 529, 575, 690, 1058, 1150, 1587, 1725, 2645, 3174, 3450, 5290, 7935, 13225, 15870, 26450, 39675

Step-4: Factors of 79361

List of positive integer factors of 79361 that divides 79350 without a remainder.

1, 61, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79350 and 79361. The biggest common factor number is the GCF number.
So the greatest common factor 79350 and 79361 is 1.

Also check out the Least Common Multiple of 79350 and 79361