What is the Greatest Common Factor of 70290 and 70295?

Greatest common factor (GCF) of 70290 and 70295 is 5.

GCF(70290,70295) = 5

We will now calculate the prime factors of 70290 and 70295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70290 and 70295.

How to find the GCF of 70290 and 70295?

We will first find the prime factorization of 70290 and 70295. After we will calculate the factors of 70290 and 70295 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 70295

Prime factors of 70295 are 5, 17, 827. Prime factorization of 70295 in exponential form is:

70295 = 5¹ × 17¹ × 827¹

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 70295

List of positive integer factors of 70295 that divides 70290 without a remainder.

1, 5, 17, 85, 827, 4135, 14059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70290 and 70295. The biggest common factor number is the GCF number.
So the greatest common factor 70290 and 70295 is 5.

Also check out the Least Common Multiple of 70290 and 70295