What is the Greatest Common Factor of 70864 and 70880?

Greatest common factor (GCF) of 70864 and 70880 is 16.

GCF(70864,70880) = 16

We will now calculate the prime factors of 70864 and 70880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70864 and 70880.

How to find the GCF of 70864 and 70880?

We will first find the prime factorization of 70864 and 70880. After we will calculate the factors of 70864 and 70880 and find the biggest common factor number .

Step-1: Prime Factorization of 70864

Prime factors of 70864 are 2, 43, 103. Prime factorization of 70864 in exponential form is:

70864 = 2⁴ × 43¹ × 103¹

Step-2: Prime Factorization of 70880

Prime factors of 70880 are 2, 5, 443. Prime factorization of 70880 in exponential form is:

70880 = 2⁵ × 5¹ × 443¹

Step-3: Factors of 70864

List of positive integer factors of 70864 that divides 70864 without a remainder.

1, 2, 4, 8, 16, 43, 86, 103, 172, 206, 344, 412, 688, 824, 1648, 4429, 8858, 17716, 35432

Step-4: Factors of 70880

List of positive integer factors of 70880 that divides 70864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 443, 886, 1772, 2215, 3544, 4430, 7088, 8860, 14176, 17720, 35440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70864 and 70880. The biggest common factor number is the GCF number.
So the greatest common factor 70864 and 70880 is 16.

Also check out the Least Common Multiple of 70864 and 70880