What is the Greatest Common Factor of 77415 and 77430?

Greatest common factor (GCF) of 77415 and 77430 is 15.

GCF(77415,77430) = 15

We will now calculate the prime factors of 77415 and 77430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77415 and 77430.

How to find the GCF of 77415 and 77430?

We will first find the prime factorization of 77415 and 77430. After we will calculate the factors of 77415 and 77430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77430

Prime factors of 77430 are 2, 3, 5, 29, 89. Prime factorization of 77430 in exponential form is:

77430 = 2¹ × 3¹ × 5¹ × 29¹ × 89¹

Step-3: Factors of 77415

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

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

Step-4: Factors of 77430

List of positive integer factors of 77430 that divides 77415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 89, 145, 174, 178, 267, 290, 435, 445, 534, 870, 890, 1335, 2581, 2670, 5162, 7743, 12905, 15486, 25810, 38715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77415 and 77430. The biggest common factor number is the GCF number.
So the greatest common factor 77415 and 77430 is 15.

Also check out the Least Common Multiple of 77415 and 77430