What is the Greatest Common Factor of 70041 and 70059?

Greatest common factor (GCF) of 70041 and 70059 is 3.

GCF(70041,70059) = 3

We will now calculate the prime factors of 70041 and 70059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70041 and 70059.

How to find the GCF of 70041 and 70059?

We will first find the prime factorization of 70041 and 70059. After we will calculate the factors of 70041 and 70059 and find the biggest common factor number .

Step-1: Prime Factorization of 70041

Prime factors of 70041 are 3, 37, 631. Prime factorization of 70041 in exponential form is:

70041 = 3¹ × 37¹ × 631¹

Step-2: 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-3: Factors of 70041

List of positive integer factors of 70041 that divides 70041 without a remainder.

1, 3, 37, 111, 631, 1893, 23347

Step-4: Factors of 70059

List of positive integer factors of 70059 that divides 70041 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70041 and 70059. The biggest common factor number is the GCF number.
So the greatest common factor 70041 and 70059 is 3.

Also check out the Least Common Multiple of 70041 and 70059