What is the Greatest Common Factor of 69321 and 69335?

Greatest common factor (GCF) of 69321 and 69335 is 7.

GCF(69321,69335) = 7

We will now calculate the prime factors of 69321 and 69335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69321 and 69335.

How to find the GCF of 69321 and 69335?

We will first find the prime factorization of 69321 and 69335. After we will calculate the factors of 69321 and 69335 and find the biggest common factor number .

Step-1: Prime Factorization of 69321

Prime factors of 69321 are 3, 7, 3301. Prime factorization of 69321 in exponential form is:

69321 = 3¹ × 7¹ × 3301¹

Step-2: Prime Factorization of 69335

Prime factors of 69335 are 5, 7, 283. Prime factorization of 69335 in exponential form is:

69335 = 5¹ × 7² × 283¹

Step-3: Factors of 69321

List of positive integer factors of 69321 that divides 69321 without a remainder.

1, 3, 7, 21, 3301, 9903, 23107

Step-4: Factors of 69335

List of positive integer factors of 69335 that divides 69321 without a remainder.

1, 5, 7, 35, 49, 245, 283, 1415, 1981, 9905, 13867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69321 and 69335. The biggest common factor number is the GCF number.
So the greatest common factor 69321 and 69335 is 7.

Also check out the Least Common Multiple of 69321 and 69335