What is the Greatest Common Factor of 59115 and 59122?

Greatest common factor (GCF) of 59115 and 59122 is 7.

GCF(59115,59122) = 7

We will now calculate the prime factors of 59115 and 59122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59115 and 59122.

How to find the GCF of 59115 and 59122?

We will first find the prime factorization of 59115 and 59122. After we will calculate the factors of 59115 and 59122 and find the biggest common factor number .

Step-1: Prime Factorization of 59115

Prime factors of 59115 are 3, 5, 7, 563. Prime factorization of 59115 in exponential form is:

59115 = 3¹ × 5¹ × 7¹ × 563¹

Step-2: Prime Factorization of 59122

Prime factors of 59122 are 2, 7, 41, 103. Prime factorization of 59122 in exponential form is:

59122 = 2¹ × 7¹ × 41¹ × 103¹

Step-3: Factors of 59115

List of positive integer factors of 59115 that divides 59115 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 563, 1689, 2815, 3941, 8445, 11823, 19705

Step-4: Factors of 59122

List of positive integer factors of 59122 that divides 59115 without a remainder.

1, 2, 7, 14, 41, 82, 103, 206, 287, 574, 721, 1442, 4223, 8446, 29561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59115 and 59122. The biggest common factor number is the GCF number.
So the greatest common factor 59115 and 59122 is 7.

Also check out the Least Common Multiple of 59115 and 59122