What is the Greatest Common Factor of 60544 and 60564?

Greatest common factor (GCF) of 60544 and 60564 is 4.

GCF(60544,60564) = 4

We will now calculate the prime factors of 60544 and 60564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60544 and 60564.

How to find the GCF of 60544 and 60564?

We will first find the prime factorization of 60544 and 60564. After we will calculate the factors of 60544 and 60564 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 60564

Prime factors of 60564 are 2, 3, 7, 103. Prime factorization of 60564 in exponential form is:

60564 = 2² × 3¹ × 7² × 103¹

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 60564

List of positive integer factors of 60564 that divides 60544 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 103, 147, 196, 206, 294, 309, 412, 588, 618, 721, 1236, 1442, 2163, 2884, 4326, 5047, 8652, 10094, 15141, 20188, 30282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60544 and 60564. The biggest common factor number is the GCF number.
So the greatest common factor 60544 and 60564 is 4.

Also check out the Least Common Multiple of 60544 and 60564