What is the Greatest Common Factor of 70458 and 70476?

Greatest common factor (GCF) of 70458 and 70476 is 6.

GCF(70458,70476) = 6

We will now calculate the prime factors of 70458 and 70476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70458 and 70476.

How to find the GCF of 70458 and 70476?

We will first find the prime factorization of 70458 and 70476. After we will calculate the factors of 70458 and 70476 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 70476

Prime factors of 70476 are 2, 3, 7, 839. Prime factorization of 70476 in exponential form is:

70476 = 2² × 3¹ × 7¹ × 839¹

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 70476

List of positive integer factors of 70476 that divides 70458 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 839, 1678, 2517, 3356, 5034, 5873, 10068, 11746, 17619, 23492, 35238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70458 and 70476. The biggest common factor number is the GCF number.
So the greatest common factor 70458 and 70476 is 6.

Also check out the Least Common Multiple of 70458 and 70476