What is the Greatest Common Factor of 59130 and 59140?

Greatest common factor (GCF) of 59130 and 59140 is 10.

GCF(59130,59140) = 10

We will now calculate the prime factors of 59130 and 59140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59130 and 59140.

How to find the GCF of 59130 and 59140?

We will first find the prime factorization of 59130 and 59140. After we will calculate the factors of 59130 and 59140 and find the biggest common factor number .

Step-1: Prime Factorization of 59130

Prime factors of 59130 are 2, 3, 5, 73. Prime factorization of 59130 in exponential form is:

59130 = 2¹ × 3⁴ × 5¹ × 73¹

Step-2: Prime Factorization of 59140

Prime factors of 59140 are 2, 5, 2957. Prime factorization of 59140 in exponential form is:

59140 = 2² × 5¹ × 2957¹

Step-3: Factors of 59130

List of positive integer factors of 59130 that divides 59130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 73, 81, 90, 135, 146, 162, 219, 270, 365, 405, 438, 657, 730, 810, 1095, 1314, 1971, 2190, 3285, 3942, 5913, 6570, 9855, 11826, 19710, 29565

Step-4: Factors of 59140

List of positive integer factors of 59140 that divides 59130 without a remainder.

1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59130 and 59140. The biggest common factor number is the GCF number.
So the greatest common factor 59130 and 59140 is 10.

Also check out the Least Common Multiple of 59130 and 59140