What is the Greatest Common Factor of 70880 and 70894?

Greatest common factor (GCF) of 70880 and 70894 is 2.

GCF(70880,70894) = 2

We will now calculate the prime factors of 70880 and 70894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70880 and 70894.

How to find the GCF of 70880 and 70894?

We will first find the prime factorization of 70880 and 70894. After we will calculate the factors of 70880 and 70894 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70894

Prime factors of 70894 are 2, 35447. Prime factorization of 70894 in exponential form is:

70894 = 2¹ × 35447¹

Step-3: Factors of 70880

List of positive integer factors of 70880 that divides 70880 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

Step-4: Factors of 70894

List of positive integer factors of 70894 that divides 70880 without a remainder.

1, 2, 35447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70880 and 70894. The biggest common factor number is the GCF number.
So the greatest common factor 70880 and 70894 is 2.

Also check out the Least Common Multiple of 70880 and 70894