What is the Greatest Common Factor of 70448 and 70452?

Greatest common factor (GCF) of 70448 and 70452 is 4.

GCF(70448,70452) = 4

We will now calculate the prime factors of 70448 and 70452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70448 and 70452.

How to find the GCF of 70448 and 70452?

We will first find the prime factorization of 70448 and 70452. After we will calculate the factors of 70448 and 70452 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 70452

Prime factors of 70452 are 2, 3, 19, 103. Prime factorization of 70452 in exponential form is:

70452 = 2² × 3² × 19¹ × 103¹

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 70452

List of positive integer factors of 70452 that divides 70448 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 103, 114, 171, 206, 228, 309, 342, 412, 618, 684, 927, 1236, 1854, 1957, 3708, 3914, 5871, 7828, 11742, 17613, 23484, 35226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70448 and 70452. The biggest common factor number is the GCF number.
So the greatest common factor 70448 and 70452 is 4.

Also check out the Least Common Multiple of 70448 and 70452