What is the Greatest Common Factor of 60533 and 60544?

Greatest common factor (GCF) of 60533 and 60544 is 11.

GCF(60533,60544) = 11

We will now calculate the prime factors of 60533 and 60544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60533 and 60544.

How to find the GCF of 60533 and 60544?

We will first find the prime factorization of 60533 and 60544. After we will calculate the factors of 60533 and 60544 and find the biggest common factor number .

Step-1: Prime Factorization of 60533

Prime factors of 60533 are 11, 5503. Prime factorization of 60533 in exponential form is:

60533 = 11¹ × 5503¹

Step-2: 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-3: Factors of 60533

List of positive integer factors of 60533 that divides 60533 without a remainder.

1, 11, 5503

Step-4: Factors of 60544

List of positive integer factors of 60544 that divides 60533 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60533 and 60544. The biggest common factor number is the GCF number.
So the greatest common factor 60533 and 60544 is 11.

Also check out the Least Common Multiple of 60533 and 60544