What is the Greatest Common Factor of 69072 and 69085?

Greatest common factor (GCF) of 69072 and 69085 is 1.

GCF(69072,69085) = 1

We will now calculate the prime factors of 69072 and 69085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69072 and 69085.

How to find the GCF of 69072 and 69085?

We will first find the prime factorization of 69072 and 69085. After we will calculate the factors of 69072 and 69085 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 69085

Prime factors of 69085 are 5, 41, 337. Prime factorization of 69085 in exponential form is:

69085 = 5¹ × 41¹ × 337¹

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 69085

List of positive integer factors of 69085 that divides 69072 without a remainder.

1, 5, 41, 205, 337, 1685, 13817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69072 and 69085. The biggest common factor number is the GCF number.
So the greatest common factor 69072 and 69085 is 1.

Also check out the Least Common Multiple of 69072 and 69085