What is the Greatest Common Factor of 60102 and 60107?

Greatest common factor (GCF) of 60102 and 60107 is 1.

GCF(60102,60107) = 1

We will now calculate the prime factors of 60102 and 60107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60102 and 60107.

How to find the GCF of 60102 and 60107?

We will first find the prime factorization of 60102 and 60107. After we will calculate the factors of 60102 and 60107 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 60107

Prime factors of 60107 are 60107. Prime factorization of 60107 in exponential form is:

60107 = 60107¹

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 60107

List of positive integer factors of 60107 that divides 60102 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60102 and 60107. The biggest common factor number is the GCF number.
So the greatest common factor 60102 and 60107 is 1.

Also check out the Least Common Multiple of 60102 and 60107