What is the Greatest Common Factor of 60060 and 60066?

Greatest common factor (GCF) of 60060 and 60066 is 6.

GCF(60060,60066) = 6

We will now calculate the prime factors of 60060 and 60066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60060 and 60066.

How to find the GCF of 60060 and 60066?

We will first find the prime factorization of 60060 and 60066. After we will calculate the factors of 60060 and 60066 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60066

Prime factors of 60066 are 2, 3, 47, 71. Prime factorization of 60066 in exponential form is:

60066 = 2¹ × 3² × 47¹ × 71¹

Step-3: Factors of 60060

List of positive integer factors of 60060 that divides 60060 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

Step-4: Factors of 60066

List of positive integer factors of 60066 that divides 60060 without a remainder.

1, 2, 3, 6, 9, 18, 47, 71, 94, 141, 142, 213, 282, 423, 426, 639, 846, 1278, 3337, 6674, 10011, 20022, 30033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60060 and 60066. The biggest common factor number is the GCF number.
So the greatest common factor 60060 and 60066 is 6.

Also check out the Least Common Multiple of 60060 and 60066