What is the Greatest Common Factor of 69084 and 69103?

Greatest common factor (GCF) of 69084 and 69103 is 19.

GCF(69084,69103) = 19

We will now calculate the prime factors of 69084 and 69103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69084 and 69103.

How to find the GCF of 69084 and 69103?

We will first find the prime factorization of 69084 and 69103. After we will calculate the factors of 69084 and 69103 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 69103

Prime factors of 69103 are 19, 3637. Prime factorization of 69103 in exponential form is:

69103 = 19¹ × 3637¹

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 69103

List of positive integer factors of 69103 that divides 69084 without a remainder.

1, 19, 3637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69084 and 69103. The biggest common factor number is the GCF number.
So the greatest common factor 69084 and 69103 is 19.

Also check out the Least Common Multiple of 69084 and 69103