What is the Greatest Common Factor of 60852 and 60863?

Greatest common factor (GCF) of 60852 and 60863 is 11.

GCF(60852,60863) = 11

We will now calculate the prime factors of 60852 and 60863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60852 and 60863.

How to find the GCF of 60852 and 60863?

We will first find the prime factorization of 60852 and 60863. After we will calculate the factors of 60852 and 60863 and find the biggest common factor number .

Step-1: Prime Factorization of 60852

Prime factors of 60852 are 2, 3, 11, 461. Prime factorization of 60852 in exponential form is:

60852 = 2² × 3¹ × 11¹ × 461¹

Step-2: Prime Factorization of 60863

Prime factors of 60863 are 11, 503. Prime factorization of 60863 in exponential form is:

60863 = 11² × 503¹

Step-3: Factors of 60852

List of positive integer factors of 60852 that divides 60852 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 461, 922, 1383, 1844, 2766, 5071, 5532, 10142, 15213, 20284, 30426

Step-4: Factors of 60863

List of positive integer factors of 60863 that divides 60852 without a remainder.

1, 11, 121, 503, 5533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60852 and 60863. The biggest common factor number is the GCF number.
So the greatest common factor 60852 and 60863 is 11.

Also check out the Least Common Multiple of 60852 and 60863