What is the Greatest Common Factor of 41509 and 41520?

Greatest common factor (GCF) of 41509 and 41520 is 1.

GCF(41509,41520) = 1

We will now calculate the prime factors of 41509 and 41520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41509 and 41520.

How to find the GCF of 41509 and 41520?

We will first find the prime factorization of 41509 and 41520. After we will calculate the factors of 41509 and 41520 and find the biggest common factor number .

Step-1: Prime Factorization of 41509

Prime factors of 41509 are 13, 31, 103. Prime factorization of 41509 in exponential form is:

41509 = 13¹ × 31¹ × 103¹

Step-2: 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-3: Factors of 41509

List of positive integer factors of 41509 that divides 41509 without a remainder.

1, 13, 31, 103, 403, 1339, 3193

Step-4: Factors of 41520

List of positive integer factors of 41520 that divides 41509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41509 and 41520. The biggest common factor number is the GCF number.
So the greatest common factor 41509 and 41520 is 1.

Also check out the Least Common Multiple of 41509 and 41520