What is the Greatest Common Factor of 70059 and 70068?

Greatest common factor (GCF) of 70059 and 70068 is 3.

GCF(70059,70068) = 3

We will now calculate the prime factors of 70059 and 70068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70059 and 70068.

How to find the GCF of 70059 and 70068?

We will first find the prime factorization of 70059 and 70068. After we will calculate the factors of 70059 and 70068 and find the biggest common factor number .

Step-1: Prime Factorization of 70059

Prime factors of 70059 are 3, 11, 193. Prime factorization of 70059 in exponential form is:

70059 = 3¹ × 11² × 193¹

Step-2: Prime Factorization of 70068

Prime factors of 70068 are 2, 3, 5839. Prime factorization of 70068 in exponential form is:

70068 = 2² × 3¹ × 5839¹

Step-3: Factors of 70059

List of positive integer factors of 70059 that divides 70059 without a remainder.

1, 3, 11, 33, 121, 193, 363, 579, 2123, 6369, 23353

Step-4: Factors of 70068

List of positive integer factors of 70068 that divides 70059 without a remainder.

1, 2, 3, 4, 6, 12, 5839, 11678, 17517, 23356, 35034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70059 and 70068. The biggest common factor number is the GCF number.
So the greatest common factor 70059 and 70068 is 3.

Also check out the Least Common Multiple of 70059 and 70068