What is the Greatest Common Factor of 60102 and 60116?

Greatest common factor (GCF) of 60102 and 60116 is 14.

GCF(60102,60116) = 14

We will now calculate the prime factors of 60102 and 60116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60102 and 60116.

How to find the GCF of 60102 and 60116?

We will first find the prime factorization of 60102 and 60116. After we will calculate the factors of 60102 and 60116 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 60116

Prime factors of 60116 are 2, 7, 19, 113. Prime factorization of 60116 in exponential form is:

60116 = 2² × 7¹ × 19¹ × 113¹

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 60116

List of positive integer factors of 60116 that divides 60102 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 113, 133, 226, 266, 452, 532, 791, 1582, 2147, 3164, 4294, 8588, 15029, 30058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60102 and 60116. The biggest common factor number is the GCF number.
So the greatest common factor 60102 and 60116 is 14.

Also check out the Least Common Multiple of 60102 and 60116