What is the Greatest Common Factor of 77315 and 77335?

Greatest common factor (GCF) of 77315 and 77335 is 5.

GCF(77315,77335) = 5

We will now calculate the prime factors of 77315 and 77335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77315 and 77335.

How to find the GCF of 77315 and 77335?

We will first find the prime factorization of 77315 and 77335. After we will calculate the factors of 77315 and 77335 and find the biggest common factor number .

Step-1: Prime Factorization of 77315

Prime factors of 77315 are 5, 7, 47. Prime factorization of 77315 in exponential form is:

77315 = 5¹ × 7¹ × 47²

Step-2: Prime Factorization of 77335

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

77335 = 5¹ × 15467¹

Step-3: Factors of 77315

List of positive integer factors of 77315 that divides 77315 without a remainder.

1, 5, 7, 35, 47, 235, 329, 1645, 2209, 11045, 15463

Step-4: Factors of 77335

List of positive integer factors of 77335 that divides 77315 without a remainder.

1, 5, 15467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77315 and 77335. The biggest common factor number is the GCF number.
So the greatest common factor 77315 and 77335 is 5.

Also check out the Least Common Multiple of 77315 and 77335