What is the Greatest Common Factor of 41524 and 41530?

Greatest common factor (GCF) of 41524 and 41530 is 2.

GCF(41524,41530) = 2

We will now calculate the prime factors of 41524 and 41530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41524 and 41530.

How to find the GCF of 41524 and 41530?

We will first find the prime factorization of 41524 and 41530. After we will calculate the factors of 41524 and 41530 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 41530

Prime factors of 41530 are 2, 5, 4153. Prime factorization of 41530 in exponential form is:

41530 = 2¹ × 5¹ × 4153¹

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 41530

List of positive integer factors of 41530 that divides 41524 without a remainder.

1, 2, 5, 10, 4153, 8306, 20765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41524 and 41530. The biggest common factor number is the GCF number.
So the greatest common factor 41524 and 41530 is 2.

Also check out the Least Common Multiple of 41524 and 41530