What is the Greatest Common Factor of 32193 and 32207?

Greatest common factor (GCF) of 32193 and 32207 is 7.

GCF(32193,32207) = 7

We will now calculate the prime factors of 32193 and 32207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32193 and 32207.

How to find the GCF of 32193 and 32207?

We will first find the prime factorization of 32193 and 32207. After we will calculate the factors of 32193 and 32207 and find the biggest common factor number .

Step-1: Prime Factorization of 32193

Prime factors of 32193 are 3, 7, 73. Prime factorization of 32193 in exponential form is:

32193 = 3² × 7² × 73¹

Step-2: Prime Factorization of 32207

Prime factors of 32207 are 7, 43, 107. Prime factorization of 32207 in exponential form is:

32207 = 7¹ × 43¹ × 107¹

Step-3: Factors of 32193

List of positive integer factors of 32193 that divides 32193 without a remainder.

1, 3, 7, 9, 21, 49, 63, 73, 147, 219, 441, 511, 657, 1533, 3577, 4599, 10731

Step-4: Factors of 32207

List of positive integer factors of 32207 that divides 32193 without a remainder.

1, 7, 43, 107, 301, 749, 4601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32193 and 32207. The biggest common factor number is the GCF number.
So the greatest common factor 32193 and 32207 is 7.

Also check out the Least Common Multiple of 32193 and 32207