What is the Greatest Common Factor of 70458 and 70473?

Greatest common factor (GCF) of 70458 and 70473 is 3.

GCF(70458,70473) = 3

We will now calculate the prime factors of 70458 and 70473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70458 and 70473.

How to find the GCF of 70458 and 70473?

We will first find the prime factorization of 70458 and 70473. After we will calculate the factors of 70458 and 70473 and find the biggest common factor number .

Step-1: Prime Factorization of 70458

Prime factors of 70458 are 2, 3, 11743. Prime factorization of 70458 in exponential form is:

70458 = 2¹ × 3¹ × 11743¹

Step-2: Prime Factorization of 70473

Prime factors of 70473 are 3, 13, 139. Prime factorization of 70473 in exponential form is:

70473 = 3¹ × 13² × 139¹

Step-3: Factors of 70458

List of positive integer factors of 70458 that divides 70458 without a remainder.

1, 2, 3, 6, 11743, 23486, 35229

Step-4: Factors of 70473

List of positive integer factors of 70473 that divides 70458 without a remainder.

1, 3, 13, 39, 139, 169, 417, 507, 1807, 5421, 23491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70458 and 70473. The biggest common factor number is the GCF number.
So the greatest common factor 70458 and 70473 is 3.

Also check out the Least Common Multiple of 70458 and 70473