What is the Greatest Common Factor of 69088 and 69104?

Greatest common factor (GCF) of 69088 and 69104 is 16.

GCF(69088,69104) = 16

We will now calculate the prime factors of 69088 and 69104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69088 and 69104.

How to find the GCF of 69088 and 69104?

We will first find the prime factorization of 69088 and 69104. After we will calculate the factors of 69088 and 69104 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69104

Prime factors of 69104 are 2, 7, 617. Prime factorization of 69104 in exponential form is:

69104 = 2⁴ × 7¹ × 617¹

Step-3: Factors of 69088

List of positive integer factors of 69088 that divides 69088 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

Step-4: Factors of 69104

List of positive integer factors of 69104 that divides 69088 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 617, 1234, 2468, 4319, 4936, 8638, 9872, 17276, 34552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69088 and 69104. The biggest common factor number is the GCF number.
So the greatest common factor 69088 and 69104 is 16.

Also check out the Least Common Multiple of 69088 and 69104