What is the Greatest Common Factor of 69872 and 69892?

Greatest common factor (GCF) of 69872 and 69892 is 4.

GCF(69872,69892) = 4

We will now calculate the prime factors of 69872 and 69892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69872 and 69892.

How to find the GCF of 69872 and 69892?

We will first find the prime factorization of 69872 and 69892. After we will calculate the factors of 69872 and 69892 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 69892

Prime factors of 69892 are 2, 101, 173. Prime factorization of 69892 in exponential form is:

69892 = 2² × 101¹ × 173¹

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 69892

List of positive integer factors of 69892 that divides 69872 without a remainder.

1, 2, 4, 101, 173, 202, 346, 404, 692, 17473, 34946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69872 and 69892. The biggest common factor number is the GCF number.
So the greatest common factor 69872 and 69892 is 4.

Also check out the Least Common Multiple of 69872 and 69892