What is the Greatest Common Factor of 41524 and 41533?

Greatest common factor (GCF) of 41524 and 41533 is 1.

GCF(41524,41533) = 1

We will now calculate the prime factors of 41524 and 41533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41524 and 41533.

How to find the GCF of 41524 and 41533?

We will first find the prime factorization of 41524 and 41533. After we will calculate the factors of 41524 and 41533 and find the biggest common factor number .

Step-1: Prime Factorization of 41524

Prime factors of 41524 are 2, 7, 1483. Prime factorization of 41524 in exponential form is:

41524 = 2² × 7¹ × 1483¹

Step-2: Prime Factorization of 41533

Prime factors of 41533 are 41, 1013. Prime factorization of 41533 in exponential form is:

41533 = 41¹ × 1013¹

Step-3: Factors of 41524

List of positive integer factors of 41524 that divides 41524 without a remainder.

1, 2, 4, 7, 14, 28, 1483, 2966, 5932, 10381, 20762

Step-4: Factors of 41533

List of positive integer factors of 41533 that divides 41524 without a remainder.

1, 41, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41524 and 41533. The biggest common factor number is the GCF number.
So the greatest common factor 41524 and 41533 is 1.

Also check out the Least Common Multiple of 41524 and 41533