What is the Greatest Common Factor of 70448 and 70458?

Greatest common factor (GCF) of 70448 and 70458 is 2.

GCF(70448,70458) = 2

We will now calculate the prime factors of 70448 and 70458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70448 and 70458.

How to find the GCF of 70448 and 70458?

We will first find the prime factorization of 70448 and 70458. After we will calculate the factors of 70448 and 70458 and find the biggest common factor number .

Step-1: Prime Factorization of 70448

Prime factors of 70448 are 2, 7, 17, 37. Prime factorization of 70448 in exponential form is:

70448 = 2⁴ × 7¹ × 17¹ × 37¹

Step-2: 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-3: Factors of 70448

List of positive integer factors of 70448 that divides 70448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 37, 56, 68, 74, 112, 119, 136, 148, 238, 259, 272, 296, 476, 518, 592, 629, 952, 1036, 1258, 1904, 2072, 2516, 4144, 4403, 5032, 8806, 10064, 17612, 35224

Step-4: Factors of 70458

List of positive integer factors of 70458 that divides 70448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70448 and 70458. The biggest common factor number is the GCF number.
So the greatest common factor 70448 and 70458 is 2.

Also check out the Least Common Multiple of 70448 and 70458