What is the Greatest Common Factor of 70290 and 70301?

Greatest common factor (GCF) of 70290 and 70301 is 11.

GCF(70290,70301) = 11

We will now calculate the prime factors of 70290 and 70301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70290 and 70301.

How to find the GCF of 70290 and 70301?

We will first find the prime factorization of 70290 and 70301. After we will calculate the factors of 70290 and 70301 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 70301

Prime factors of 70301 are 7, 11, 83. Prime factorization of 70301 in exponential form is:

70301 = 7¹ × 11² × 83¹

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 70301

List of positive integer factors of 70301 that divides 70290 without a remainder.

1, 7, 11, 77, 83, 121, 581, 847, 913, 6391, 10043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70290 and 70301. The biggest common factor number is the GCF number.
So the greatest common factor 70290 and 70301 is 11.

Also check out the Least Common Multiple of 70290 and 70301