What is the Greatest Common Factor of 590 and 610?

Greatest common factor (GCF) of 590 and 610 is 10.

GCF(590,610) = 10

We will now calculate the prime factors of 590 and 610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 590 and 610.

How to find the GCF of 590 and 610?

We will first find the prime factorization of 590 and 610. After we will calculate the factors of 590 and 610 and find the biggest common factor number .

Step-1: Prime Factorization of 590

Prime factors of 590 are 2, 5, 59. Prime factorization of 590 in exponential form is:

590 = 2¹ × 5¹ × 59¹

Step-2: Prime Factorization of 610

Prime factors of 610 are 2, 5, 61. Prime factorization of 610 in exponential form is:

610 = 2¹ × 5¹ × 61¹

Step-3: Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295

Step-4: Factors of 610

List of positive integer factors of 610 that divides 590 without a remainder.

1, 2, 5, 10, 61, 122, 305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 590 and 610. The biggest common factor number is the GCF number.
So the greatest common factor 590 and 610 is 10.

Also check out the Least Common Multiple of 590 and 610