What is the Greatest Common Factor of 70290 and 70299?

Greatest common factor (GCF) of 70290 and 70299 is 9.

GCF(70290,70299) = 9

We will now calculate the prime factors of 70290 and 70299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70290 and 70299.

How to find the GCF of 70290 and 70299?

We will first find the prime factorization of 70290 and 70299. After we will calculate the factors of 70290 and 70299 and find the biggest common factor number .

Step-1: Prime Factorization of 70290

Prime factors of 70290 are 2, 3, 5, 11, 71. Prime factorization of 70290 in exponential form is:

70290 = 2¹ × 3² × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 70299

Prime factors of 70299 are 3, 73, 107. Prime factorization of 70299 in exponential form is:

70299 = 3² × 73¹ × 107¹

Step-3: Factors of 70290

List of positive integer factors of 70290 that divides 70290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 71, 90, 99, 110, 142, 165, 198, 213, 330, 355, 426, 495, 639, 710, 781, 990, 1065, 1278, 1562, 2130, 2343, 3195, 3905, 4686, 6390, 7029, 7810, 11715, 14058, 23430, 35145

Step-4: Factors of 70299

List of positive integer factors of 70299 that divides 70290 without a remainder.

1, 3, 9, 73, 107, 219, 321, 657, 963, 7811, 23433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70290 and 70299. The biggest common factor number is the GCF number.
So the greatest common factor 70290 and 70299 is 9.

Also check out the Least Common Multiple of 70290 and 70299