What is the Greatest Common Factor of 60060 and 60072?

Greatest common factor (GCF) of 60060 and 60072 is 12.

GCF(60060,60072) = 12

We will now calculate the prime factors of 60060 and 60072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60060 and 60072.

How to find the GCF of 60060 and 60072?

We will first find the prime factorization of 60060 and 60072. After we will calculate the factors of 60060 and 60072 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 60072

Prime factors of 60072 are 2, 3, 2503. Prime factorization of 60072 in exponential form is:

60072 = 2³ × 3¹ × 2503¹

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 60072

List of positive integer factors of 60072 that divides 60060 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60060 and 60072. The biggest common factor number is the GCF number.
So the greatest common factor 60060 and 60072 is 12.

Also check out the Least Common Multiple of 60060 and 60072