What is the Greatest Common Factor of 69140 and 69160?

Greatest common factor (GCF) of 69140 and 69160 is 20.

GCF(69140,69160) = 20

We will now calculate the prime factors of 69140 and 69160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69140 and 69160.

How to find the GCF of 69140 and 69160?

We will first find the prime factorization of 69140 and 69160. After we will calculate the factors of 69140 and 69160 and find the biggest common factor number .

Step-1: Prime Factorization of 69140

Prime factors of 69140 are 2, 5, 3457. Prime factorization of 69140 in exponential form is:

69140 = 2² × 5¹ × 3457¹

Step-2: 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-3: Factors of 69140

List of positive integer factors of 69140 that divides 69140 without a remainder.

1, 2, 4, 5, 10, 20, 3457, 6914, 13828, 17285, 34570

Step-4: Factors of 69160

List of positive integer factors of 69160 that divides 69140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69140 and 69160. The biggest common factor number is the GCF number.
So the greatest common factor 69140 and 69160 is 20.

Also check out the Least Common Multiple of 69140 and 69160