What is the Greatest Common Factor of 60102 and 60110?

Greatest common factor (GCF) of 60102 and 60110 is 2.

GCF(60102,60110) = 2

We will now calculate the prime factors of 60102 and 60110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60102 and 60110.

How to find the GCF of 60102 and 60110?

We will first find the prime factorization of 60102 and 60110. After we will calculate the factors of 60102 and 60110 and find the biggest common factor number .

Step-1: Prime Factorization of 60102

Prime factors of 60102 are 2, 3, 7, 53. Prime factorization of 60102 in exponential form is:

60102 = 2¹ × 3⁴ × 7¹ × 53¹

Step-2: Prime Factorization of 60110

Prime factors of 60110 are 2, 5, 6011. Prime factorization of 60110 in exponential form is:

60110 = 2¹ × 5¹ × 6011¹

Step-3: Factors of 60102

List of positive integer factors of 60102 that divides 60102 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 81, 106, 126, 159, 162, 189, 318, 371, 378, 477, 567, 742, 954, 1113, 1134, 1431, 2226, 2862, 3339, 4293, 6678, 8586, 10017, 20034, 30051

Step-4: Factors of 60110

List of positive integer factors of 60110 that divides 60102 without a remainder.

1, 2, 5, 10, 6011, 12022, 30055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60102 and 60110. The biggest common factor number is the GCF number.
So the greatest common factor 60102 and 60110 is 2.

Also check out the Least Common Multiple of 60102 and 60110