What is the Greatest Common Factor of 71370 and 71388?

Greatest common factor (GCF) of 71370 and 71388 is 18.

GCF(71370,71388) = 18

We will now calculate the prime factors of 71370 and 71388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71370 and 71388.

How to find the GCF of 71370 and 71388?

We will first find the prime factorization of 71370 and 71388. After we will calculate the factors of 71370 and 71388 and find the biggest common factor number .

Step-1: Prime Factorization of 71370

Prime factors of 71370 are 2, 3, 5, 13, 61. Prime factorization of 71370 in exponential form is:

71370 = 2¹ × 3² × 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 71388

Prime factors of 71388 are 2, 3, 661. Prime factorization of 71388 in exponential form is:

71388 = 2² × 3³ × 661¹

Step-3: Factors of 71370

List of positive integer factors of 71370 that divides 71370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 61, 65, 78, 90, 117, 122, 130, 183, 195, 234, 305, 366, 390, 549, 585, 610, 793, 915, 1098, 1170, 1586, 1830, 2379, 2745, 3965, 4758, 5490, 7137, 7930, 11895, 14274, 23790, 35685

Step-4: Factors of 71388

List of positive integer factors of 71388 that divides 71370 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 661, 1322, 1983, 2644, 3966, 5949, 7932, 11898, 17847, 23796, 35694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71370 and 71388. The biggest common factor number is the GCF number.
So the greatest common factor 71370 and 71388 is 18.

Also check out the Least Common Multiple of 71370 and 71388