What is the Greatest Common Factor of 60030 and 60038?

Greatest common factor (GCF) of 60030 and 60038 is 2.

GCF(60030,60038) = 2

We will now calculate the prime factors of 60030 and 60038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60030 and 60038.

How to find the GCF of 60030 and 60038?

We will first find the prime factorization of 60030 and 60038. After we will calculate the factors of 60030 and 60038 and find the biggest common factor number .

Step-1: Prime Factorization of 60030

Prime factors of 60030 are 2, 3, 5, 23, 29. Prime factorization of 60030 in exponential form is:

60030 = 2¹ × 3² × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 60038

Prime factors of 60038 are 2, 11, 2729. Prime factorization of 60038 in exponential form is:

60038 = 2¹ × 11¹ × 2729¹

Step-3: Factors of 60030

List of positive integer factors of 60030 that divides 60030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 29, 30, 45, 46, 58, 69, 87, 90, 115, 138, 145, 174, 207, 230, 261, 290, 345, 414, 435, 522, 667, 690, 870, 1035, 1305, 1334, 2001, 2070, 2610, 3335, 4002, 6003, 6670, 10005, 12006, 20010, 30015

Step-4: Factors of 60038

List of positive integer factors of 60038 that divides 60030 without a remainder.

1, 2, 11, 22, 2729, 5458, 30019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60030 and 60038. The biggest common factor number is the GCF number.
So the greatest common factor 60030 and 60038 is 2.

Also check out the Least Common Multiple of 60030 and 60038