What is the Greatest Common Factor of 61598 and 61609?

Greatest common factor (GCF) of 61598 and 61609 is 1.

GCF(61598,61609) = 1

We will now calculate the prime factors of 61598 and 61609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61598 and 61609.

How to find the GCF of 61598 and 61609?

We will first find the prime factorization of 61598 and 61609. After we will calculate the factors of 61598 and 61609 and find the biggest common factor number .

Step-1: Prime Factorization of 61598

Prime factors of 61598 are 2, 19, 1621. Prime factorization of 61598 in exponential form is:

61598 = 2¹ × 19¹ × 1621¹

Step-2: Prime Factorization of 61609

Prime factors of 61609 are 61609. Prime factorization of 61609 in exponential form is:

61609 = 61609¹

Step-3: Factors of 61598

List of positive integer factors of 61598 that divides 61598 without a remainder.

1, 2, 19, 38, 1621, 3242, 30799

Step-4: Factors of 61609

List of positive integer factors of 61609 that divides 61598 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61598 and 61609. The biggest common factor number is the GCF number.
So the greatest common factor 61598 and 61609 is 1.

Also check out the Least Common Multiple of 61598 and 61609