What is the Greatest Common Factor of 61617 and 61633?

Greatest common factor (GCF) of 61617 and 61633 is 1.

GCF(61617,61633) = 1

We will now calculate the prime factors of 61617 and 61633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61617 and 61633.

How to find the GCF of 61617 and 61633?

We will first find the prime factorization of 61617 and 61633. After we will calculate the factors of 61617 and 61633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61633

Prime factors of 61633 are 11, 13, 431. Prime factorization of 61633 in exponential form is:

61633 = 11¹ × 13¹ × 431¹

Step-3: Factors of 61617

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

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

Step-4: Factors of 61633

List of positive integer factors of 61633 that divides 61617 without a remainder.

1, 11, 13, 143, 431, 4741, 5603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61617 and 61633. The biggest common factor number is the GCF number.
So the greatest common factor 61617 and 61633 is 1.

Also check out the Least Common Multiple of 61617 and 61633