What is the Greatest Common Factor of 70380 and 70395?

Greatest common factor (GCF) of 70380 and 70395 is 15.

GCF(70380,70395) = 15

We will now calculate the prime factors of 70380 and 70395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70380 and 70395.

How to find the GCF of 70380 and 70395?

We will first find the prime factorization of 70380 and 70395. After we will calculate the factors of 70380 and 70395 and find the biggest common factor number .

Step-1: Prime Factorization of 70380

Prime factors of 70380 are 2, 3, 5, 17, 23. Prime factorization of 70380 in exponential form is:

70380 = 2² × 3² × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 70395

Prime factors of 70395 are 3, 5, 13, 19. Prime factorization of 70395 in exponential form is:

70395 = 3¹ × 5¹ × 13¹ × 19²

Step-3: Factors of 70380

List of positive integer factors of 70380 that divides 70380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 30, 34, 36, 45, 46, 51, 60, 68, 69, 85, 90, 92, 102, 115, 138, 153, 170, 180, 204, 207, 230, 255, 276, 306, 340, 345, 391, 414, 460, 510, 612, 690, 765, 782, 828, 1020, 1035, 1173, 1380, 1530, 1564, 1955, 2070, 2346, 3060, 3519, 3910, 4140, 4692, 5865, 7038, 7820, 11730, 14076, 17595, 23460, 35190

Step-4: Factors of 70395

List of positive integer factors of 70395 that divides 70380 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 361, 741, 1083, 1235, 1805, 3705, 4693, 5415, 14079, 23465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70380 and 70395. The biggest common factor number is the GCF number.
So the greatest common factor 70380 and 70395 is 15.

Also check out the Least Common Multiple of 70380 and 70395