What is the Greatest Common Factor of 69160 and 69173?

Greatest common factor (GCF) of 69160 and 69173 is 13.

GCF(69160,69173) = 13

We will now calculate the prime factors of 69160 and 69173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69160 and 69173.

How to find the GCF of 69160 and 69173?

We will first find the prime factorization of 69160 and 69173. After we will calculate the factors of 69160 and 69173 and find the biggest common factor number .

Step-1: Prime Factorization of 69160

Prime factors of 69160 are 2, 5, 7, 13, 19. Prime factorization of 69160 in exponential form is:

69160 = 2³ × 5¹ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 69173

Prime factors of 69173 are 13, 17, 313. Prime factorization of 69173 in exponential form is:

69173 = 13¹ × 17¹ × 313¹

Step-3: Factors of 69160

List of positive integer factors of 69160 that divides 69160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 19, 20, 26, 28, 35, 38, 40, 52, 56, 65, 70, 76, 91, 95, 104, 130, 133, 140, 152, 182, 190, 247, 260, 266, 280, 364, 380, 455, 494, 520, 532, 665, 728, 760, 910, 988, 1064, 1235, 1330, 1729, 1820, 1976, 2470, 2660, 3458, 3640, 4940, 5320, 6916, 8645, 9880, 13832, 17290, 34580

Step-4: Factors of 69173

List of positive integer factors of 69173 that divides 69160 without a remainder.

1, 13, 17, 221, 313, 4069, 5321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69160 and 69173. The biggest common factor number is the GCF number.
So the greatest common factor 69160 and 69173 is 13.

Also check out the Least Common Multiple of 69160 and 69173