What is the Greatest Common Factor of 69084 and 69098?

Greatest common factor (GCF) of 69084 and 69098 is 2.

GCF(69084,69098) = 2

We will now calculate the prime factors of 69084 and 69098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69084 and 69098.

How to find the GCF of 69084 and 69098?

We will first find the prime factorization of 69084 and 69098. After we will calculate the factors of 69084 and 69098 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 69098

Prime factors of 69098 are 2, 34549. Prime factorization of 69098 in exponential form is:

69098 = 2¹ × 34549¹

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 69098

List of positive integer factors of 69098 that divides 69084 without a remainder.

1, 2, 34549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69084 and 69098. The biggest common factor number is the GCF number.
So the greatest common factor 69084 and 69098 is 2.

Also check out the Least Common Multiple of 69084 and 69098