What is the Greatest Common Factor of 41553 and 41572?

Greatest common factor (GCF) of 41553 and 41572 is 19.

GCF(41553,41572) = 19

We will now calculate the prime factors of 41553 and 41572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41553 and 41572.

How to find the GCF of 41553 and 41572?

We will first find the prime factorization of 41553 and 41572. After we will calculate the factors of 41553 and 41572 and find the biggest common factor number .

Step-1: Prime Factorization of 41553

Prime factors of 41553 are 3, 19. Prime factorization of 41553 in exponential form is:

41553 = 3⁷ × 19¹

Step-2: Prime Factorization of 41572

Prime factors of 41572 are 2, 19, 547. Prime factorization of 41572 in exponential form is:

41572 = 2² × 19¹ × 547¹

Step-3: Factors of 41553

List of positive integer factors of 41553 that divides 41553 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 729, 1539, 2187, 4617, 13851

Step-4: Factors of 41572

List of positive integer factors of 41572 that divides 41553 without a remainder.

1, 2, 4, 19, 38, 76, 547, 1094, 2188, 10393, 20786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41553 and 41572. The biggest common factor number is the GCF number.
So the greatest common factor 41553 and 41572 is 19.

Also check out the Least Common Multiple of 41553 and 41572