What is the Greatest Common Factor of 32542 and 32560?

Greatest common factor (GCF) of 32542 and 32560 is 2.

GCF(32542,32560) = 2

We will now calculate the prime factors of 32542 and 32560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32542 and 32560.

How to find the GCF of 32542 and 32560?

We will first find the prime factorization of 32542 and 32560. After we will calculate the factors of 32542 and 32560 and find the biggest common factor number .

Step-1: Prime Factorization of 32542

Prime factors of 32542 are 2, 53, 307. Prime factorization of 32542 in exponential form is:

32542 = 2¹ × 53¹ × 307¹

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 32542

List of positive integer factors of 32542 that divides 32542 without a remainder.

1, 2, 53, 106, 307, 614, 16271

Step-4: Factors of 32560

List of positive integer factors of 32560 that divides 32542 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 32542 and 32560. The biggest common factor number is the GCF number.
So the greatest common factor 32542 and 32560 is 2.

Also check out the Least Common Multiple of 32542 and 32560