What is the Greatest Common Factor of 60030 and 60049?

Greatest common factor (GCF) of 60030 and 60049 is 1.

GCF(60030,60049) = 1

We will now calculate the prime factors of 60030 and 60049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60030 and 60049.

How to find the GCF of 60030 and 60049?

We will first find the prime factorization of 60030 and 60049. After we will calculate the factors of 60030 and 60049 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 60049

Prime factors of 60049 are 11, 53, 103. Prime factorization of 60049 in exponential form is:

60049 = 11¹ × 53¹ × 103¹

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 60049

List of positive integer factors of 60049 that divides 60030 without a remainder.

1, 11, 53, 103, 583, 1133, 5459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60030 and 60049. The biggest common factor number is the GCF number.
So the greatest common factor 60030 and 60049 is 1.

Also check out the Least Common Multiple of 60030 and 60049