What is the Greatest Common Factor of 62010 and 62030?

Greatest common factor (GCF) of 62010 and 62030 is 10.

GCF(62010,62030) = 10

We will now calculate the prime factors of 62010 and 62030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62010 and 62030.

How to find the GCF of 62010 and 62030?

We will first find the prime factorization of 62010 and 62030. After we will calculate the factors of 62010 and 62030 and find the biggest common factor number .

Step-1: Prime Factorization of 62010

Prime factors of 62010 are 2, 3, 5, 13, 53. Prime factorization of 62010 in exponential form is:

62010 = 2¹ × 3² × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 62030

Prime factors of 62030 are 2, 5, 6203. Prime factorization of 62030 in exponential form is:

62030 = 2¹ × 5¹ × 6203¹

Step-3: Factors of 62010

List of positive integer factors of 62010 that divides 62010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 53, 65, 78, 90, 106, 117, 130, 159, 195, 234, 265, 318, 390, 477, 530, 585, 689, 795, 954, 1170, 1378, 1590, 2067, 2385, 3445, 4134, 4770, 6201, 6890, 10335, 12402, 20670, 31005

Step-4: Factors of 62030

List of positive integer factors of 62030 that divides 62010 without a remainder.

1, 2, 5, 10, 6203, 12406, 31015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62010 and 62030. The biggest common factor number is the GCF number.
So the greatest common factor 62010 and 62030 is 10.

Also check out the Least Common Multiple of 62010 and 62030