What is the Greatest Common Factor of 69072 and 69089?

Greatest common factor (GCF) of 69072 and 69089 is 1.

GCF(69072,69089) = 1

We will now calculate the prime factors of 69072 and 69089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69072 and 69089.

How to find the GCF of 69072 and 69089?

We will first find the prime factorization of 69072 and 69089. After we will calculate the factors of 69072 and 69089 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 69089

Prime factors of 69089 are 59, 1171. Prime factorization of 69089 in exponential form is:

69089 = 59¹ × 1171¹

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 69089

List of positive integer factors of 69089 that divides 69072 without a remainder.

1, 59, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69072 and 69089. The biggest common factor number is the GCF number.
So the greatest common factor 69072 and 69089 is 1.

Also check out the Least Common Multiple of 69072 and 69089