What is the Greatest Common Factor of 70872 and 70880?

Greatest common factor (GCF) of 70872 and 70880 is 8.

GCF(70872,70880) = 8

We will now calculate the prime factors of 70872 and 70880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70872 and 70880.

How to find the GCF of 70872 and 70880?

We will first find the prime factorization of 70872 and 70880. After we will calculate the factors of 70872 and 70880 and find the biggest common factor number .

Step-1: Prime Factorization of 70872

Prime factors of 70872 are 2, 3, 2953. Prime factorization of 70872 in exponential form is:

70872 = 2³ × 3¹ × 2953¹

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 70872

List of positive integer factors of 70872 that divides 70872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2953, 5906, 8859, 11812, 17718, 23624, 35436

Step-4: Factors of 70880

List of positive integer factors of 70880 that divides 70872 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 70872 and 70880. The biggest common factor number is the GCF number.
So the greatest common factor 70872 and 70880 is 8.

Also check out the Least Common Multiple of 70872 and 70880