What is the Greatest Common Factor of 32551 and 32560?

Greatest common factor (GCF) of 32551 and 32560 is 1.

GCF(32551,32560) = 1

We will now calculate the prime factors of 32551 and 32560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32551 and 32560.

How to find the GCF of 32551 and 32560?

We will first find the prime factorization of 32551 and 32560. After we will calculate the factors of 32551 and 32560 and find the biggest common factor number .

Step-1: Prime Factorization of 32551

Prime factors of 32551 are 43, 757. Prime factorization of 32551 in exponential form is:

32551 = 43¹ × 757¹

Step-2: Prime Factorization of 32560

Prime factors of 32560 are 2, 5, 11, 37. Prime factorization of 32560 in exponential form is:

32560 = 2⁴ × 5¹ × 11¹ × 37¹

Step-3: Factors of 32551

List of positive integer factors of 32551 that divides 32551 without a remainder.

1, 43, 757

Step-4: Factors of 32560

List of positive integer factors of 32560 that divides 32551 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 37, 40, 44, 55, 74, 80, 88, 110, 148, 176, 185, 220, 296, 370, 407, 440, 592, 740, 814, 880, 1480, 1628, 2035, 2960, 3256, 4070, 6512, 8140, 16280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32551 and 32560. The biggest common factor number is the GCF number.
So the greatest common factor 32551 and 32560 is 1.

Also check out the Least Common Multiple of 32551 and 32560