What is the Greatest Common Factor of 59080 and 59094?

Greatest common factor (GCF) of 59080 and 59094 is 14.

GCF(59080,59094) = 14

We will now calculate the prime factors of 59080 and 59094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59080 and 59094.

How to find the GCF of 59080 and 59094?

We will first find the prime factorization of 59080 and 59094. After we will calculate the factors of 59080 and 59094 and find the biggest common factor number .

Step-1: Prime Factorization of 59080

Prime factors of 59080 are 2, 5, 7, 211. Prime factorization of 59080 in exponential form is:

59080 = 2³ × 5¹ × 7¹ × 211¹

Step-2: 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-3: Factors of 59080

List of positive integer factors of 59080 that divides 59080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 211, 280, 422, 844, 1055, 1477, 1688, 2110, 2954, 4220, 5908, 7385, 8440, 11816, 14770, 29540

Step-4: Factors of 59094

List of positive integer factors of 59094 that divides 59080 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59080 and 59094. The biggest common factor number is the GCF number.
So the greatest common factor 59080 and 59094 is 14.

Also check out the Least Common Multiple of 59080 and 59094