What is the Greatest Common Factor of 70059 and 70073?

Greatest common factor (GCF) of 70059 and 70073 is 1.

GCF(70059,70073) = 1

We will now calculate the prime factors of 70059 and 70073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70059 and 70073.

How to find the GCF of 70059 and 70073?

We will first find the prime factorization of 70059 and 70073. After we will calculate the factors of 70059 and 70073 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 70073

Prime factors of 70073 are 79, 887. Prime factorization of 70073 in exponential form is:

70073 = 79¹ × 887¹

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 70073

List of positive integer factors of 70073 that divides 70059 without a remainder.

1, 79, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70059 and 70073. The biggest common factor number is the GCF number.
So the greatest common factor 70059 and 70073 is 1.

Also check out the Least Common Multiple of 70059 and 70073