What is the Greatest Common Factor of 60060 and 60070?

Greatest common factor (GCF) of 60060 and 60070 is 10.

GCF(60060,60070) = 10

We will now calculate the prime factors of 60060 and 60070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60060 and 60070.

How to find the GCF of 60060 and 60070?

We will first find the prime factorization of 60060 and 60070. After we will calculate the factors of 60060 and 60070 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 60070

Prime factors of 60070 are 2, 5, 6007. Prime factorization of 60070 in exponential form is:

60070 = 2¹ × 5¹ × 6007¹

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 60070

List of positive integer factors of 60070 that divides 60060 without a remainder.

1, 2, 5, 10, 6007, 12014, 30035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60060 and 60070. The biggest common factor number is the GCF number.
So the greatest common factor 60060 and 60070 is 10.

Also check out the Least Common Multiple of 60060 and 60070