What is the Greatest Common Factor of 69074 and 69084?

Greatest common factor (GCF) of 69074 and 69084 is 2.

GCF(69074,69084) = 2

We will now calculate the prime factors of 69074 and 69084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69074 and 69084.

How to find the GCF of 69074 and 69084?

We will first find the prime factorization of 69074 and 69084. After we will calculate the factors of 69074 and 69084 and find the biggest common factor number .

Step-1: Prime Factorization of 69074

Prime factors of 69074 are 2, 34537. Prime factorization of 69074 in exponential form is:

69074 = 2¹ × 34537¹

Step-2: 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-3: Factors of 69074

List of positive integer factors of 69074 that divides 69074 without a remainder.

1, 2, 34537

Step-4: Factors of 69084

List of positive integer factors of 69084 that divides 69074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69074 and 69084. The biggest common factor number is the GCF number.
So the greatest common factor 69074 and 69084 is 2.

Also check out the Least Common Multiple of 69074 and 69084