What is the Greatest Common Factor of 60544 and 60562?

Greatest common factor (GCF) of 60544 and 60562 is 2.

GCF(60544,60562) = 2

We will now calculate the prime factors of 60544 and 60562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60544 and 60562.

How to find the GCF of 60544 and 60562?

We will first find the prime factorization of 60544 and 60562. After we will calculate the factors of 60544 and 60562 and find the biggest common factor number .

Step-1: Prime Factorization of 60544

Prime factors of 60544 are 2, 11, 43. Prime factorization of 60544 in exponential form is:

60544 = 2⁷ × 11¹ × 43¹

Step-2: Prime Factorization of 60562

Prime factors of 60562 are 2, 107, 283. Prime factorization of 60562 in exponential form is:

60562 = 2¹ × 107¹ × 283¹

Step-3: Factors of 60544

List of positive integer factors of 60544 that divides 60544 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 43, 44, 64, 86, 88, 128, 172, 176, 344, 352, 473, 688, 704, 946, 1376, 1408, 1892, 2752, 3784, 5504, 7568, 15136, 30272

Step-4: Factors of 60562

List of positive integer factors of 60562 that divides 60544 without a remainder.

1, 2, 107, 214, 283, 566, 30281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60544 and 60562. The biggest common factor number is the GCF number.
So the greatest common factor 60544 and 60562 is 2.

Also check out the Least Common Multiple of 60544 and 60562