What is the Greatest Common Factor of 77301 and 77315?

Greatest common factor (GCF) of 77301 and 77315 is 7.

GCF(77301,77315) = 7

We will now calculate the prime factors of 77301 and 77315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77301 and 77315.

How to find the GCF of 77301 and 77315?

We will first find the prime factorization of 77301 and 77315. After we will calculate the factors of 77301 and 77315 and find the biggest common factor number .

Step-1: Prime Factorization of 77301

Prime factors of 77301 are 3, 7, 409. Prime factorization of 77301 in exponential form is:

77301 = 3³ × 7¹ × 409¹

Step-2: 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-3: Factors of 77301

List of positive integer factors of 77301 that divides 77301 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 409, 1227, 2863, 3681, 8589, 11043, 25767

Step-4: Factors of 77315

List of positive integer factors of 77315 that divides 77301 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77301 and 77315. The biggest common factor number is the GCF number.
So the greatest common factor 77301 and 77315 is 7.

Also check out the Least Common Multiple of 77301 and 77315