What is the Greatest Common Factor of 610 and 619?

Greatest common factor (GCF) of 610 and 619 is 1.

GCF(610,619) = 1

We will now calculate the prime factors of 610 and 619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 610 and 619.

How to find the GCF of 610 and 619?

We will first find the prime factorization of 610 and 619. After we will calculate the factors of 610 and 619 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 619

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 619¹

Step-3: Factors of 610

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

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

Step-4: Factors of 619

List of positive integer factors of 619 that divides 610 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 610 and 619. The biggest common factor number is the GCF number.
So the greatest common factor 610 and 619 is 1.

Also check out the Least Common Multiple of 610 and 619