What is the Greatest Common Factor of 62010 and 62023?

Greatest common factor (GCF) of 62010 and 62023 is 13.

GCF(62010,62023) = 13

We will now calculate the prime factors of 62010 and 62023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62010 and 62023.

How to find the GCF of 62010 and 62023?

We will first find the prime factorization of 62010 and 62023. After we will calculate the factors of 62010 and 62023 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 62023

Prime factors of 62023 are 13, 367. Prime factorization of 62023 in exponential form is:

62023 = 13² × 367¹

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 62023

List of positive integer factors of 62023 that divides 62010 without a remainder.

1, 13, 169, 367, 4771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62010 and 62023. The biggest common factor number is the GCF number.
So the greatest common factor 62010 and 62023 is 13.

Also check out the Least Common Multiple of 62010 and 62023