What is the Greatest Common Factor of 69214 and 69232?

Greatest common factor (GCF) of 69214 and 69232 is 2.

GCF(69214,69232) = 2

We will now calculate the prime factors of 69214 and 69232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69214 and 69232.

How to find the GCF of 69214 and 69232?

We will first find the prime factorization of 69214 and 69232. After we will calculate the factors of 69214 and 69232 and find the biggest common factor number .

Step-1: Prime Factorization of 69214

Prime factors of 69214 are 2, 34607. Prime factorization of 69214 in exponential form is:

69214 = 2¹ × 34607¹

Step-2: Prime Factorization of 69232

Prime factors of 69232 are 2, 4327. Prime factorization of 69232 in exponential form is:

69232 = 2⁴ × 4327¹

Step-3: Factors of 69214

List of positive integer factors of 69214 that divides 69214 without a remainder.

1, 2, 34607

Step-4: Factors of 69232

List of positive integer factors of 69232 that divides 69214 without a remainder.

1, 2, 4, 8, 16, 4327, 8654, 17308, 34616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69214 and 69232. The biggest common factor number is the GCF number.
So the greatest common factor 69214 and 69232 is 2.

Also check out the Least Common Multiple of 69214 and 69232