What is the Greatest Common Factor of 32298 and 32312?

Greatest common factor (GCF) of 32298 and 32312 is 14.

GCF(32298,32312) = 14

We will now calculate the prime factors of 32298 and 32312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32298 and 32312.

How to find the GCF of 32298 and 32312?

We will first find the prime factorization of 32298 and 32312. After we will calculate the factors of 32298 and 32312 and find the biggest common factor number .

Step-1: Prime Factorization of 32298

Prime factors of 32298 are 2, 3, 7, 769. Prime factorization of 32298 in exponential form is:

32298 = 2¹ × 3¹ × 7¹ × 769¹

Step-2: Prime Factorization of 32312

Prime factors of 32312 are 2, 7, 577. Prime factorization of 32312 in exponential form is:

32312 = 2³ × 7¹ × 577¹

Step-3: Factors of 32298

List of positive integer factors of 32298 that divides 32298 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 769, 1538, 2307, 4614, 5383, 10766, 16149

Step-4: Factors of 32312

List of positive integer factors of 32312 that divides 32298 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 577, 1154, 2308, 4039, 4616, 8078, 16156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32298 and 32312. The biggest common factor number is the GCF number.
So the greatest common factor 32298 and 32312 is 14.

Also check out the Least Common Multiple of 32298 and 32312