What is the Greatest Common Factor of 32548 and 32562?

Greatest common factor (GCF) of 32548 and 32562 is 2.

GCF(32548,32562) = 2

We will now calculate the prime factors of 32548 and 32562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32548 and 32562.

How to find the GCF of 32548 and 32562?

We will first find the prime factorization of 32548 and 32562. After we will calculate the factors of 32548 and 32562 and find the biggest common factor number .

Step-1: Prime Factorization of 32548

Prime factors of 32548 are 2, 79, 103. Prime factorization of 32548 in exponential form is:

32548 = 2² × 79¹ × 103¹

Step-2: Prime Factorization of 32562

Prime factors of 32562 are 2, 3, 67. Prime factorization of 32562 in exponential form is:

32562 = 2¹ × 3⁵ × 67¹

Step-3: Factors of 32548

List of positive integer factors of 32548 that divides 32548 without a remainder.

1, 2, 4, 79, 103, 158, 206, 316, 412, 8137, 16274

Step-4: Factors of 32562

List of positive integer factors of 32562 that divides 32548 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 243, 402, 486, 603, 1206, 1809, 3618, 5427, 10854, 16281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32548 and 32562. The biggest common factor number is the GCF number.
So the greatest common factor 32548 and 32562 is 2.

Also check out the Least Common Multiple of 32548 and 32562