What is the Greatest Common Factor of 43520 and 43537?

Greatest common factor (GCF) of 43520 and 43537 is 17.

GCF(43520,43537) = 17

We will now calculate the prime factors of 43520 and 43537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43520 and 43537.

How to find the GCF of 43520 and 43537?

We will first find the prime factorization of 43520 and 43537. After we will calculate the factors of 43520 and 43537 and find the biggest common factor number .

Step-1: Prime Factorization of 43520

Prime factors of 43520 are 2, 5, 17. Prime factorization of 43520 in exponential form is:

43520 = 2⁹ × 5¹ × 17¹

Step-2: Prime Factorization of 43537

Prime factors of 43537 are 13, 17, 197. Prime factorization of 43537 in exponential form is:

43537 = 13¹ × 17¹ × 197¹

Step-3: Factors of 43520

List of positive integer factors of 43520 that divides 43520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 256, 272, 320, 340, 512, 544, 640, 680, 1088, 1280, 1360, 2176, 2560, 2720, 4352, 5440, 8704, 10880, 21760

Step-4: Factors of 43537

List of positive integer factors of 43537 that divides 43520 without a remainder.

1, 13, 17, 197, 221, 2561, 3349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43520 and 43537. The biggest common factor number is the GCF number.
So the greatest common factor 43520 and 43537 is 17.

Also check out the Least Common Multiple of 43520 and 43537