What is the Greatest Common Factor of 59094 and 59109?

Greatest common factor (GCF) of 59094 and 59109 is 3.

GCF(59094,59109) = 3

We will now calculate the prime factors of 59094 and 59109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59094 and 59109.

How to find the GCF of 59094 and 59109?

We will first find the prime factorization of 59094 and 59109. After we will calculate the factors of 59094 and 59109 and find the biggest common factor number .

Step-1: Prime Factorization of 59094

Prime factors of 59094 are 2, 3, 7, 67. Prime factorization of 59094 in exponential form is:

59094 = 2¹ × 3² × 7² × 67¹

Step-2: Prime Factorization of 59109

Prime factors of 59109 are 3, 17, 19, 61. Prime factorization of 59109 in exponential form is:

59109 = 3¹ × 17¹ × 19¹ × 61¹

Step-3: Factors of 59094

List of positive integer factors of 59094 that divides 59094 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 67, 98, 126, 134, 147, 201, 294, 402, 441, 469, 603, 882, 938, 1206, 1407, 2814, 3283, 4221, 6566, 8442, 9849, 19698, 29547

Step-4: Factors of 59109

List of positive integer factors of 59109 that divides 59094 without a remainder.

1, 3, 17, 19, 51, 57, 61, 183, 323, 969, 1037, 1159, 3111, 3477, 19703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59094 and 59109. The biggest common factor number is the GCF number.
So the greatest common factor 59094 and 59109 is 3.

Also check out the Least Common Multiple of 59094 and 59109