What is the Greatest Common Factor of 69072 and 69088?

Greatest common factor (GCF) of 69072 and 69088 is 16.

GCF(69072,69088) = 16

We will now calculate the prime factors of 69072 and 69088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69072 and 69088.

How to find the GCF of 69072 and 69088?

We will first find the prime factorization of 69072 and 69088. After we will calculate the factors of 69072 and 69088 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 69088

Prime factors of 69088 are 2, 17, 127. Prime factorization of 69088 in exponential form is:

69088 = 2⁵ × 17¹ × 127¹

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 69088

List of positive integer factors of 69088 that divides 69072 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 127, 136, 254, 272, 508, 544, 1016, 2032, 2159, 4064, 4318, 8636, 17272, 34544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69072 and 69088. The biggest common factor number is the GCF number.
So the greatest common factor 69072 and 69088 is 16.

Also check out the Least Common Multiple of 69072 and 69088