What is the Greatest Common Factor of 32697 and 32714?

Greatest common factor (GCF) of 32697 and 32714 is 1.

GCF(32697,32714) = 1

We will now calculate the prime factors of 32697 and 32714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32697 and 32714.

How to find the GCF of 32697 and 32714?

We will first find the prime factorization of 32697 and 32714. After we will calculate the factors of 32697 and 32714 and find the biggest common factor number .

Step-1: Prime Factorization of 32697

Prime factors of 32697 are 3, 7, 173. Prime factorization of 32697 in exponential form is:

32697 = 3³ × 7¹ × 173¹

Step-2: Prime Factorization of 32714

Prime factors of 32714 are 2, 11, 1487. Prime factorization of 32714 in exponential form is:

32714 = 2¹ × 11¹ × 1487¹

Step-3: Factors of 32697

List of positive integer factors of 32697 that divides 32697 without a remainder.

1, 3, 7, 9, 21, 27, 63, 173, 189, 519, 1211, 1557, 3633, 4671, 10899

Step-4: Factors of 32714

List of positive integer factors of 32714 that divides 32697 without a remainder.

1, 2, 11, 22, 1487, 2974, 16357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32697 and 32714. The biggest common factor number is the GCF number.
So the greatest common factor 32697 and 32714 is 1.

Also check out the Least Common Multiple of 32697 and 32714