What is the Greatest Common Factor of 77398 and 77415?

Greatest common factor (GCF) of 77398 and 77415 is 1.

GCF(77398,77415) = 1

We will now calculate the prime factors of 77398 and 77415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77398 and 77415.

How to find the GCF of 77398 and 77415?

We will first find the prime factorization of 77398 and 77415. After we will calculate the factors of 77398 and 77415 and find the biggest common factor number .

Step-1: Prime Factorization of 77398

Prime factors of 77398 are 2, 38699. Prime factorization of 77398 in exponential form is:

77398 = 2¹ × 38699¹

Step-2: Prime Factorization of 77415

Prime factors of 77415 are 3, 5, 13, 397. Prime factorization of 77415 in exponential form is:

77415 = 3¹ × 5¹ × 13¹ × 397¹

Step-3: Factors of 77398

List of positive integer factors of 77398 that divides 77398 without a remainder.

1, 2, 38699

Step-4: Factors of 77415

List of positive integer factors of 77415 that divides 77398 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 397, 1191, 1985, 5161, 5955, 15483, 25805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77398 and 77415. The biggest common factor number is the GCF number.
So the greatest common factor 77398 and 77415 is 1.

Also check out the Least Common Multiple of 77398 and 77415