What is the Greatest Common Factor of 61623 and 61633?

Greatest common factor (GCF) of 61623 and 61633 is 1.

GCF(61623,61633) = 1

We will now calculate the prime factors of 61623 and 61633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61623 and 61633.

How to find the GCF of 61623 and 61633?

We will first find the prime factorization of 61623 and 61633. After we will calculate the factors of 61623 and 61633 and find the biggest common factor number .

Step-1: Prime Factorization of 61623

Prime factors of 61623 are 3, 41, 167. Prime factorization of 61623 in exponential form is:

61623 = 3² × 41¹ × 167¹

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 61623

List of positive integer factors of 61623 that divides 61623 without a remainder.

1, 3, 9, 41, 123, 167, 369, 501, 1503, 6847, 20541

Step-4: Factors of 61633

List of positive integer factors of 61633 that divides 61623 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61623 and 61633. The biggest common factor number is the GCF number.
So the greatest common factor 61623 and 61633 is 1.

Also check out the Least Common Multiple of 61623 and 61633