What is the Greatest Common Factor of 96418 and 96435?

Greatest common factor (GCF) of 96418 and 96435 is 1.

GCF(96418,96435) = 1

We will now calculate the prime factors of 96418 and 96435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96418 and 96435.

How to find the GCF of 96418 and 96435?

We will first find the prime factorization of 96418 and 96435. After we will calculate the factors of 96418 and 96435 and find the biggest common factor number .

Step-1: Prime Factorization of 96418

Prime factors of 96418 are 2, 7, 71, 97. Prime factorization of 96418 in exponential form is:

96418 = 2¹ × 7¹ × 71¹ × 97¹

Step-2: Prime Factorization of 96435

Prime factors of 96435 are 3, 5, 2143. Prime factorization of 96435 in exponential form is:

96435 = 3² × 5¹ × 2143¹

Step-3: Factors of 96418

List of positive integer factors of 96418 that divides 96418 without a remainder.

1, 2, 7, 14, 71, 97, 142, 194, 497, 679, 994, 1358, 6887, 13774, 48209

Step-4: Factors of 96435

List of positive integer factors of 96435 that divides 96418 without a remainder.

1, 3, 5, 9, 15, 45, 2143, 6429, 10715, 19287, 32145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96418 and 96435. The biggest common factor number is the GCF number.
So the greatest common factor 96418 and 96435 is 1.

Also check out the Least Common Multiple of 96418 and 96435