What is the Greatest Common Factor of 60550 and 60564?

Greatest common factor (GCF) of 60550 and 60564 is 14.

GCF(60550,60564) = 14

We will now calculate the prime factors of 60550 and 60564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60550 and 60564.

How to find the GCF of 60550 and 60564?

We will first find the prime factorization of 60550 and 60564. After we will calculate the factors of 60550 and 60564 and find the biggest common factor number .

Step-1: Prime Factorization of 60550

Prime factors of 60550 are 2, 5, 7, 173. Prime factorization of 60550 in exponential form is:

60550 = 2¹ × 5² × 7¹ × 173¹

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 60550

List of positive integer factors of 60550 that divides 60550 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 173, 175, 346, 350, 865, 1211, 1730, 2422, 4325, 6055, 8650, 12110, 30275

Step-4: Factors of 60564

List of positive integer factors of 60564 that divides 60550 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 60550 and 60564. The biggest common factor number is the GCF number.
So the greatest common factor 60550 and 60564 is 14.

Also check out the Least Common Multiple of 60550 and 60564