What is the Greatest Common Factor of 60042 and 60060?

Greatest common factor (GCF) of 60042 and 60060 is 6.

GCF(60042,60060) = 6

We will now calculate the prime factors of 60042 and 60060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60042 and 60060.

How to find the GCF of 60042 and 60060?

We will first find the prime factorization of 60042 and 60060. After we will calculate the factors of 60042 and 60060 and find the biggest common factor number .

Step-1: Prime Factorization of 60042

Prime factors of 60042 are 2, 3, 10007. Prime factorization of 60042 in exponential form is:

60042 = 2¹ × 3¹ × 10007¹

Step-2: Prime Factorization of 60060

Prime factors of 60060 are 2, 3, 5, 7, 11, 13. Prime factorization of 60060 in exponential form is:

60060 = 2² × 3¹ × 5¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 60042

List of positive integer factors of 60042 that divides 60042 without a remainder.

1, 2, 3, 6, 10007, 20014, 30021

Step-4: Factors of 60060

List of positive integer factors of 60060 that divides 60042 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 26, 28, 30, 33, 35, 39, 42, 44, 52, 55, 60, 65, 66, 70, 77, 78, 84, 91, 105, 110, 130, 132, 140, 143, 154, 156, 165, 182, 195, 210, 220, 231, 260, 273, 286, 308, 330, 364, 385, 390, 420, 429, 455, 462, 546, 572, 660, 715, 770, 780, 858, 910, 924, 1001, 1092, 1155, 1365, 1430, 1540, 1716, 1820, 2002, 2145, 2310, 2730, 2860, 3003, 4004, 4290, 4620, 5005, 5460, 6006, 8580, 10010, 12012, 15015, 20020, 30030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60042 and 60060. The biggest common factor number is the GCF number.
So the greatest common factor 60042 and 60060 is 6.

Also check out the Least Common Multiple of 60042 and 60060