What is the Greatest Common Factor of 96214 and 96230?

Greatest common factor (GCF) of 96214 and 96230 is 2.

GCF(96214,96230) = 2

We will now calculate the prime factors of 96214 and 96230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96214 and 96230.

How to find the GCF of 96214 and 96230?

We will first find the prime factorization of 96214 and 96230. After we will calculate the factors of 96214 and 96230 and find the biggest common factor number .

Step-1: Prime Factorization of 96214

Prime factors of 96214 are 2, 73, 659. Prime factorization of 96214 in exponential form is:

96214 = 2¹ × 73¹ × 659¹

Step-2: Prime Factorization of 96230

Prime factors of 96230 are 2, 5, 9623. Prime factorization of 96230 in exponential form is:

96230 = 2¹ × 5¹ × 9623¹

Step-3: Factors of 96214

List of positive integer factors of 96214 that divides 96214 without a remainder.

1, 2, 73, 146, 659, 1318, 48107

Step-4: Factors of 96230

List of positive integer factors of 96230 that divides 96214 without a remainder.

1, 2, 5, 10, 9623, 19246, 48115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96214 and 96230. The biggest common factor number is the GCF number.
So the greatest common factor 96214 and 96230 is 2.

Also check out the Least Common Multiple of 96214 and 96230