What is the Greatest Common Factor of 69068 and 69072?

Greatest common factor (GCF) of 69068 and 69072 is 4.

GCF(69068,69072) = 4

We will now calculate the prime factors of 69068 and 69072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69068 and 69072.

How to find the GCF of 69068 and 69072?

We will first find the prime factorization of 69068 and 69072. After we will calculate the factors of 69068 and 69072 and find the biggest common factor number .

Step-1: Prime Factorization of 69068

Prime factors of 69068 are 2, 31, 557. Prime factorization of 69068 in exponential form is:

69068 = 2² × 31¹ × 557¹

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 69068

List of positive integer factors of 69068 that divides 69068 without a remainder.

1, 2, 4, 31, 62, 124, 557, 1114, 2228, 17267, 34534

Step-4: Factors of 69072

List of positive integer factors of 69072 that divides 69068 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 69068 and 69072. The biggest common factor number is the GCF number.
So the greatest common factor 69068 and 69072 is 4.

Also check out the Least Common Multiple of 69068 and 69072