What is the Greatest Common Factor of 70380 and 70390?

Greatest common factor (GCF) of 70380 and 70390 is 10.

GCF(70380,70390) = 10

We will now calculate the prime factors of 70380 and 70390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70380 and 70390.

How to find the GCF of 70380 and 70390?

We will first find the prime factorization of 70380 and 70390. After we will calculate the factors of 70380 and 70390 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 70390

Prime factors of 70390 are 2, 5, 7039. Prime factorization of 70390 in exponential form is:

70390 = 2¹ × 5¹ × 7039¹

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 70390

List of positive integer factors of 70390 that divides 70380 without a remainder.

1, 2, 5, 10, 7039, 14078, 35195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70380 and 70390. The biggest common factor number is the GCF number.
So the greatest common factor 70380 and 70390 is 10.

Also check out the Least Common Multiple of 70380 and 70390