What is the Greatest Common Factor of 59170 and 59180?

Greatest common factor (GCF) of 59170 and 59180 is 10.

GCF(59170,59180) = 10

We will now calculate the prime factors of 59170 and 59180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59170 and 59180.

How to find the GCF of 59170 and 59180?

We will first find the prime factorization of 59170 and 59180. After we will calculate the factors of 59170 and 59180 and find the biggest common factor number .

Step-1: Prime Factorization of 59170

Prime factors of 59170 are 2, 5, 61, 97. Prime factorization of 59170 in exponential form is:

59170 = 2¹ × 5¹ × 61¹ × 97¹

Step-2: Prime Factorization of 59180

Prime factors of 59180 are 2, 5, 11, 269. Prime factorization of 59180 in exponential form is:

59180 = 2² × 5¹ × 11¹ × 269¹

Step-3: Factors of 59170

List of positive integer factors of 59170 that divides 59170 without a remainder.

1, 2, 5, 10, 61, 97, 122, 194, 305, 485, 610, 970, 5917, 11834, 29585

Step-4: Factors of 59180

List of positive integer factors of 59180 that divides 59170 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 269, 538, 1076, 1345, 2690, 2959, 5380, 5918, 11836, 14795, 29590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59170 and 59180. The biggest common factor number is the GCF number.
So the greatest common factor 59170 and 59180 is 10.

Also check out the Least Common Multiple of 59170 and 59180