What is the Greatest Common Factor of 69072 and 69081?

Greatest common factor (GCF) of 69072 and 69081 is 3.

GCF(69072,69081) = 3

We will now calculate the prime factors of 69072 and 69081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69072 and 69081.

How to find the GCF of 69072 and 69081?

We will first find the prime factorization of 69072 and 69081. After we will calculate the factors of 69072 and 69081 and find the biggest common factor number .

Step-1: Prime Factorization of 69072

Prime factors of 69072 are 2, 3, 1439. Prime factorization of 69072 in exponential form is:

69072 = 2⁴ × 3¹ × 1439¹

Step-2: Prime Factorization of 69081

Prime factors of 69081 are 3, 23027. Prime factorization of 69081 in exponential form is:

69081 = 3¹ × 23027¹

Step-3: Factors of 69072

List of positive integer factors of 69072 that divides 69072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1439, 2878, 4317, 5756, 8634, 11512, 17268, 23024, 34536

Step-4: Factors of 69081

List of positive integer factors of 69081 that divides 69072 without a remainder.

1, 3, 23027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69072 and 69081. The biggest common factor number is the GCF number.
So the greatest common factor 69072 and 69081 is 3.

Also check out the Least Common Multiple of 69072 and 69081