What is the Greatest Common Factor of 77335 and 77345?

Greatest common factor (GCF) of 77335 and 77345 is 5.

GCF(77335,77345) = 5

We will now calculate the prime factors of 77335 and 77345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77335 and 77345.

How to find the GCF of 77335 and 77345?

We will first find the prime factorization of 77335 and 77345. After we will calculate the factors of 77335 and 77345 and find the biggest common factor number .

Step-1: Prime Factorization of 77335

Prime factors of 77335 are 5, 15467. Prime factorization of 77335 in exponential form is:

77335 = 5¹ × 15467¹

Step-2: Prime Factorization of 77345

Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:

77345 = 5¹ × 31¹ × 499¹

Step-3: Factors of 77335

List of positive integer factors of 77335 that divides 77335 without a remainder.

1, 5, 15467

Step-4: Factors of 77345

List of positive integer factors of 77345 that divides 77335 without a remainder.

1, 5, 31, 155, 499, 2495, 15469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77335 and 77345. The biggest common factor number is the GCF number.
So the greatest common factor 77335 and 77345 is 5.

Also check out the Least Common Multiple of 77335 and 77345