What is the Greatest Common Factor of 77340 and 77358?

Greatest common factor (GCF) of 77340 and 77358 is 6.

GCF(77340,77358) = 6

We will now calculate the prime factors of 77340 and 77358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77340 and 77358.

How to find the GCF of 77340 and 77358?

We will first find the prime factorization of 77340 and 77358. After we will calculate the factors of 77340 and 77358 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 77358

Prime factors of 77358 are 2, 3, 12893. Prime factorization of 77358 in exponential form is:

77358 = 2¹ × 3¹ × 12893¹

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 77358

List of positive integer factors of 77358 that divides 77340 without a remainder.

1, 2, 3, 6, 12893, 25786, 38679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77340 and 77358. The biggest common factor number is the GCF number.
So the greatest common factor 77340 and 77358 is 6.

Also check out the Least Common Multiple of 77340 and 77358