What is the Greatest Common Factor of 32298 and 32302?

Greatest common factor (GCF) of 32298 and 32302 is 2.

GCF(32298,32302) = 2

We will now calculate the prime factors of 32298 and 32302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32298 and 32302.

How to find the GCF of 32298 and 32302?

We will first find the prime factorization of 32298 and 32302. After we will calculate the factors of 32298 and 32302 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 32302

Prime factors of 32302 are 2, 31, 521. Prime factorization of 32302 in exponential form is:

32302 = 2¹ × 31¹ × 521¹

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 32302

List of positive integer factors of 32302 that divides 32298 without a remainder.

1, 2, 31, 62, 521, 1042, 16151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32298 and 32302. The biggest common factor number is the GCF number.
So the greatest common factor 32298 and 32302 is 2.

Also check out the Least Common Multiple of 32298 and 32302