What is the Greatest Common Factor of 70380 and 70398?

Greatest common factor (GCF) of 70380 and 70398 is 18.

GCF(70380,70398) = 18

We will now calculate the prime factors of 70380 and 70398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70380 and 70398.

How to find the GCF of 70380 and 70398?

We will first find the prime factorization of 70380 and 70398. After we will calculate the factors of 70380 and 70398 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 70398

Prime factors of 70398 are 2, 3, 3911. Prime factorization of 70398 in exponential form is:

70398 = 2¹ × 3² × 3911¹

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 70398

List of positive integer factors of 70398 that divides 70380 without a remainder.

1, 2, 3, 6, 9, 18, 3911, 7822, 11733, 23466, 35199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70380 and 70398. The biggest common factor number is the GCF number.
So the greatest common factor 70380 and 70398 is 18.

Also check out the Least Common Multiple of 70380 and 70398