What is the Greatest Common Factor of 96214 and 96220?

Greatest common factor (GCF) of 96214 and 96220 is 2.

GCF(96214,96220) = 2

We will now calculate the prime factors of 96214 and 96220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96214 and 96220.

How to find the GCF of 96214 and 96220?

We will first find the prime factorization of 96214 and 96220. After we will calculate the factors of 96214 and 96220 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 96220

Prime factors of 96220 are 2, 5, 17, 283. Prime factorization of 96220 in exponential form is:

96220 = 2² × 5¹ × 17¹ × 283¹

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 96220

List of positive integer factors of 96220 that divides 96214 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 283, 340, 566, 1132, 1415, 2830, 4811, 5660, 9622, 19244, 24055, 48110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96214 and 96220. The biggest common factor number is the GCF number.
So the greatest common factor 96214 and 96220 is 2.

Also check out the Least Common Multiple of 96214 and 96220