What is the Greatest Common Factor of 32207 and 32213?

Greatest common factor (GCF) of 32207 and 32213 is 1.

GCF(32207,32213) = 1

We will now calculate the prime factors of 32207 and 32213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32207 and 32213.

How to find the GCF of 32207 and 32213?

We will first find the prime factorization of 32207 and 32213. After we will calculate the factors of 32207 and 32213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32213

Prime factors of 32213 are 32213. Prime factorization of 32213 in exponential form is:

32213 = 32213¹

Step-3: Factors of 32207

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

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

Step-4: Factors of 32213

List of positive integer factors of 32213 that divides 32207 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32207 and 32213. The biggest common factor number is the GCF number.
So the greatest common factor 32207 and 32213 is 1.

Also check out the Least Common Multiple of 32207 and 32213