What is the Greatest Common Factor of 77340 and 77347?

Greatest common factor (GCF) of 77340 and 77347 is 1.

GCF(77340,77347) = 1

We will now calculate the prime factors of 77340 and 77347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77340 and 77347.

How to find the GCF of 77340 and 77347?

We will first find the prime factorization of 77340 and 77347. After we will calculate the factors of 77340 and 77347 and find the biggest common factor number .

Step-1: Prime Factorization of 77340

Prime factors of 77340 are 2, 3, 5, 1289. Prime factorization of 77340 in exponential form is:

77340 = 2² × 3¹ × 5¹ × 1289¹

Step-2: Prime Factorization of 77347

Prime factors of 77347 are 77347. Prime factorization of 77347 in exponential form is:

77347 = 77347¹

Step-3: Factors of 77340

List of positive integer factors of 77340 that divides 77340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1289, 2578, 3867, 5156, 6445, 7734, 12890, 15468, 19335, 25780, 38670

Step-4: Factors of 77347

List of positive integer factors of 77347 that divides 77340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77340 and 77347. The biggest common factor number is the GCF number.
So the greatest common factor 77340 and 77347 is 1.

Also check out the Least Common Multiple of 77340 and 77347