What is the Greatest Common Factor of 41520 and 41532?

Greatest common factor (GCF) of 41520 and 41532 is 12.

GCF(41520,41532) = 12

We will now calculate the prime factors of 41520 and 41532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41520 and 41532.

How to find the GCF of 41520 and 41532?

We will first find the prime factorization of 41520 and 41532. After we will calculate the factors of 41520 and 41532 and find the biggest common factor number .

Step-1: Prime Factorization of 41520

Prime factors of 41520 are 2, 3, 5, 173. Prime factorization of 41520 in exponential form is:

41520 = 2⁴ × 3¹ × 5¹ × 173¹

Step-2: Prime Factorization of 41532

Prime factors of 41532 are 2, 3, 3461. Prime factorization of 41532 in exponential form is:

41532 = 2² × 3¹ × 3461¹

Step-3: Factors of 41520

List of positive integer factors of 41520 that divides 41520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 173, 240, 346, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 2768, 3460, 4152, 5190, 6920, 8304, 10380, 13840, 20760

Step-4: Factors of 41532

List of positive integer factors of 41532 that divides 41520 without a remainder.

1, 2, 3, 4, 6, 12, 3461, 6922, 10383, 13844, 20766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41520 and 41532. The biggest common factor number is the GCF number.
So the greatest common factor 41520 and 41532 is 12.

Also check out the Least Common Multiple of 41520 and 41532