What is the Greatest Common Factor of 69990 and 70005?

Greatest common factor (GCF) of 69990 and 70005 is 15.

GCF(69990,70005) = 15

We will now calculate the prime factors of 69990 and 70005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69990 and 70005.

How to find the GCF of 69990 and 70005?

We will first find the prime factorization of 69990 and 70005. After we will calculate the factors of 69990 and 70005 and find the biggest common factor number .

Step-1: Prime Factorization of 69990

Prime factors of 69990 are 2, 3, 5, 2333. Prime factorization of 69990 in exponential form is:

69990 = 2¹ × 3¹ × 5¹ × 2333¹

Step-2: Prime Factorization of 70005

Prime factors of 70005 are 3, 5, 13, 359. Prime factorization of 70005 in exponential form is:

70005 = 3¹ × 5¹ × 13¹ × 359¹

Step-3: Factors of 69990

List of positive integer factors of 69990 that divides 69990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2333, 4666, 6999, 11665, 13998, 23330, 34995

Step-4: Factors of 70005

List of positive integer factors of 70005 that divides 69990 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 359, 1077, 1795, 4667, 5385, 14001, 23335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69990 and 70005. The biggest common factor number is the GCF number.
So the greatest common factor 69990 and 70005 is 15.

Also check out the Least Common Multiple of 69990 and 70005