What is the Greatest Common Factor of 61598 and 61617?

Greatest common factor (GCF) of 61598 and 61617 is 19.

GCF(61598,61617) = 19

We will now calculate the prime factors of 61598 and 61617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61598 and 61617.

How to find the GCF of 61598 and 61617?

We will first find the prime factorization of 61598 and 61617. After we will calculate the factors of 61598 and 61617 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 61617

Prime factors of 61617 are 3, 19, 23, 47. Prime factorization of 61617 in exponential form is:

61617 = 3¹ × 19¹ × 23¹ × 47¹

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 61617

List of positive integer factors of 61617 that divides 61598 without a remainder.

1, 3, 19, 23, 47, 57, 69, 141, 437, 893, 1081, 1311, 2679, 3243, 20539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61598 and 61617. The biggest common factor number is the GCF number.
So the greatest common factor 61598 and 61617 is 19.

Also check out the Least Common Multiple of 61598 and 61617