What is the Greatest Common Factor of 71355 and 71370?

Greatest common factor (GCF) of 71355 and 71370 is 15.

GCF(71355,71370) = 15

We will now calculate the prime factors of 71355 and 71370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71355 and 71370.

How to find the GCF of 71355 and 71370?

We will first find the prime factorization of 71355 and 71370. After we will calculate the factors of 71355 and 71370 and find the biggest common factor number .

Step-1: Prime Factorization of 71355

Prime factors of 71355 are 3, 5, 67, 71. Prime factorization of 71355 in exponential form is:

71355 = 3¹ × 5¹ × 67¹ × 71¹

Step-2: 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-3: Factors of 71355

List of positive integer factors of 71355 that divides 71355 without a remainder.

1, 3, 5, 15, 67, 71, 201, 213, 335, 355, 1005, 1065, 4757, 14271, 23785

Step-4: Factors of 71370

List of positive integer factors of 71370 that divides 71355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71355 and 71370. The biggest common factor number is the GCF number.
So the greatest common factor 71355 and 71370 is 15.

Also check out the Least Common Multiple of 71355 and 71370