What is the Greatest Common Factor of 69363 and 69377?

Greatest common factor (GCF) of 69363 and 69377 is 7.

GCF(69363,69377) = 7

We will now calculate the prime factors of 69363 and 69377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69363 and 69377.

How to find the GCF of 69363 and 69377?

We will first find the prime factorization of 69363 and 69377. After we will calculate the factors of 69363 and 69377 and find the biggest common factor number .

Step-1: Prime Factorization of 69363

Prime factors of 69363 are 3, 7, 367. Prime factorization of 69363 in exponential form is:

69363 = 3³ × 7¹ × 367¹

Step-2: Prime Factorization of 69377

Prime factors of 69377 are 7, 11, 17, 53. Prime factorization of 69377 in exponential form is:

69377 = 7¹ × 11¹ × 17¹ × 53¹

Step-3: Factors of 69363

List of positive integer factors of 69363 that divides 69363 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 367, 1101, 2569, 3303, 7707, 9909, 23121

Step-4: Factors of 69377

List of positive integer factors of 69377 that divides 69363 without a remainder.

1, 7, 11, 17, 53, 77, 119, 187, 371, 583, 901, 1309, 4081, 6307, 9911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69363 and 69377. The biggest common factor number is the GCF number.
So the greatest common factor 69363 and 69377 is 7.

Also check out the Least Common Multiple of 69363 and 69377