What is the Greatest Common Factor of 70442 and 70448?

Greatest common factor (GCF) of 70442 and 70448 is 2.

GCF(70442,70448) = 2

We will now calculate the prime factors of 70442 and 70448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70442 and 70448.

How to find the GCF of 70442 and 70448?

We will first find the prime factorization of 70442 and 70448. After we will calculate the factors of 70442 and 70448 and find the biggest common factor number .

Step-1: Prime Factorization of 70442

Prime factors of 70442 are 2, 35221. Prime factorization of 70442 in exponential form is:

70442 = 2¹ × 35221¹

Step-2: 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-3: Factors of 70442

List of positive integer factors of 70442 that divides 70442 without a remainder.

1, 2, 35221

Step-4: Factors of 70448

List of positive integer factors of 70448 that divides 70442 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70442 and 70448. The biggest common factor number is the GCF number.
So the greatest common factor 70442 and 70448 is 2.

Also check out the Least Common Multiple of 70442 and 70448