What is the Greatest Common Factor of 41524 and 41531?

Greatest common factor (GCF) of 41524 and 41531 is 7.

GCF(41524,41531) = 7

We will now calculate the prime factors of 41524 and 41531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41524 and 41531.

How to find the GCF of 41524 and 41531?

We will first find the prime factorization of 41524 and 41531. After we will calculate the factors of 41524 and 41531 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 41531

Prime factors of 41531 are 7, 17, 349. Prime factorization of 41531 in exponential form is:

41531 = 7¹ × 17¹ × 349¹

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 41531

List of positive integer factors of 41531 that divides 41524 without a remainder.

1, 7, 17, 119, 349, 2443, 5933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41524 and 41531. The biggest common factor number is the GCF number.
So the greatest common factor 41524 and 41531 is 7.

Also check out the Least Common Multiple of 41524 and 41531