What is the Greatest Common Factor of 96418 and 96438?

Greatest common factor (GCF) of 96418 and 96438 is 2.

GCF(96418,96438) = 2

We will now calculate the prime factors of 96418 and 96438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96418 and 96438.

How to find the GCF of 96418 and 96438?

We will first find the prime factorization of 96418 and 96438. After we will calculate the factors of 96418 and 96438 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 96438

Prime factors of 96438 are 2, 3, 16073. Prime factorization of 96438 in exponential form is:

96438 = 2¹ × 3¹ × 16073¹

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 96438

List of positive integer factors of 96438 that divides 96418 without a remainder.

1, 2, 3, 6, 16073, 32146, 48219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96418 and 96438. The biggest common factor number is the GCF number.
So the greatest common factor 96418 and 96438 is 2.

Also check out the Least Common Multiple of 96418 and 96438