What is the Greatest Common Factor of 69054 and 69072?

Greatest common factor (GCF) of 69054 and 69072 is 6.

GCF(69054,69072) = 6

We will now calculate the prime factors of 69054 and 69072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69054 and 69072.

How to find the GCF of 69054 and 69072?

We will first find the prime factorization of 69054 and 69072. After we will calculate the factors of 69054 and 69072 and find the biggest common factor number .

Step-1: Prime Factorization of 69054

Prime factors of 69054 are 2, 3, 17, 677. Prime factorization of 69054 in exponential form is:

69054 = 2¹ × 3¹ × 17¹ × 677¹

Step-2: 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-3: Factors of 69054

List of positive integer factors of 69054 that divides 69054 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 677, 1354, 2031, 4062, 11509, 23018, 34527

Step-4: Factors of 69072

List of positive integer factors of 69072 that divides 69054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69054 and 69072. The biggest common factor number is the GCF number.
So the greatest common factor 69054 and 69072 is 6.

Also check out the Least Common Multiple of 69054 and 69072