What is the Greatest Common Factor of 69084 and 69088?

Greatest common factor (GCF) of 69084 and 69088 is 4.

GCF(69084,69088) = 4

We will now calculate the prime factors of 69084 and 69088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69084 and 69088.

How to find the GCF of 69084 and 69088?

We will first find the prime factorization of 69084 and 69088. After we will calculate the factors of 69084 and 69088 and find the biggest common factor number .

Step-1: Prime Factorization of 69084

Prime factors of 69084 are 2, 3, 19, 101. Prime factorization of 69084 in exponential form is:

69084 = 2² × 3² × 19¹ × 101¹

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 69084

List of positive integer factors of 69084 that divides 69084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 101, 114, 171, 202, 228, 303, 342, 404, 606, 684, 909, 1212, 1818, 1919, 3636, 3838, 5757, 7676, 11514, 17271, 23028, 34542

Step-4: Factors of 69088

List of positive integer factors of 69088 that divides 69084 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 69084 and 69088. The biggest common factor number is the GCF number.
So the greatest common factor 69084 and 69088 is 4.

Also check out the Least Common Multiple of 69084 and 69088