What is the Greatest Common Factor of 69801 and 69816?

Greatest common factor (GCF) of 69801 and 69816 is 3.

GCF(69801,69816) = 3

We will now calculate the prime factors of 69801 and 69816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69801 and 69816.

How to find the GCF of 69801 and 69816?

We will first find the prime factorization of 69801 and 69816. After we will calculate the factors of 69801 and 69816 and find the biggest common factor number .

Step-1: Prime Factorization of 69801

Prime factors of 69801 are 3, 53, 439. Prime factorization of 69801 in exponential form is:

69801 = 3¹ × 53¹ × 439¹

Step-2: Prime Factorization of 69816

Prime factors of 69816 are 2, 3, 2909. Prime factorization of 69816 in exponential form is:

69816 = 2³ × 3¹ × 2909¹

Step-3: Factors of 69801

List of positive integer factors of 69801 that divides 69801 without a remainder.

1, 3, 53, 159, 439, 1317, 23267

Step-4: Factors of 69816

List of positive integer factors of 69816 that divides 69801 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2909, 5818, 8727, 11636, 17454, 23272, 34908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69801 and 69816. The biggest common factor number is the GCF number.
So the greatest common factor 69801 and 69816 is 3.

Also check out the Least Common Multiple of 69801 and 69816