What is the Greatest Common Factor of 60838 and 60852?

Greatest common factor (GCF) of 60838 and 60852 is 2.

GCF(60838,60852) = 2

We will now calculate the prime factors of 60838 and 60852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60838 and 60852.

How to find the GCF of 60838 and 60852?

We will first find the prime factorization of 60838 and 60852. After we will calculate the factors of 60838 and 60852 and find the biggest common factor number .

Step-1: Prime Factorization of 60838

Prime factors of 60838 are 2, 19, 1601. Prime factorization of 60838 in exponential form is:

60838 = 2¹ × 19¹ × 1601¹

Step-2: 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-3: Factors of 60838

List of positive integer factors of 60838 that divides 60838 without a remainder.

1, 2, 19, 38, 1601, 3202, 30419

Step-4: Factors of 60852

List of positive integer factors of 60852 that divides 60838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60838 and 60852. The biggest common factor number is the GCF number.
So the greatest common factor 60838 and 60852 is 2.

Also check out the Least Common Multiple of 60838 and 60852