What is the Greatest Common Factor of 69872 and 69880?

Greatest common factor (GCF) of 69872 and 69880 is 8.

GCF(69872,69880) = 8

We will now calculate the prime factors of 69872 and 69880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69872 and 69880.

How to find the GCF of 69872 and 69880?

We will first find the prime factorization of 69872 and 69880. After we will calculate the factors of 69872 and 69880 and find the biggest common factor number .

Step-1: Prime Factorization of 69872

Prime factors of 69872 are 2, 11, 397. Prime factorization of 69872 in exponential form is:

69872 = 2⁴ × 11¹ × 397¹

Step-2: Prime Factorization of 69880

Prime factors of 69880 are 2, 5, 1747. Prime factorization of 69880 in exponential form is:

69880 = 2³ × 5¹ × 1747¹

Step-3: Factors of 69872

List of positive integer factors of 69872 that divides 69872 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 397, 794, 1588, 3176, 4367, 6352, 8734, 17468, 34936

Step-4: Factors of 69880

List of positive integer factors of 69880 that divides 69872 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1747, 3494, 6988, 8735, 13976, 17470, 34940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69872 and 69880. The biggest common factor number is the GCF number.
So the greatest common factor 69872 and 69880 is 8.

Also check out the Least Common Multiple of 69872 and 69880