What is the Greatest Common Factor of 45030 and 45049?

Greatest common factor (GCF) of 45030 and 45049 is 19.

GCF(45030,45049) = 19

We will now calculate the prime factors of 45030 and 45049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45030 and 45049.

How to find the GCF of 45030 and 45049?

We will first find the prime factorization of 45030 and 45049. After we will calculate the factors of 45030 and 45049 and find the biggest common factor number .

Step-1: Prime Factorization of 45030

Prime factors of 45030 are 2, 3, 5, 19, 79. Prime factorization of 45030 in exponential form is:

45030 = 2¹ × 3¹ × 5¹ × 19¹ × 79¹

Step-2: Prime Factorization of 45049

Prime factors of 45049 are 19, 2371. Prime factorization of 45049 in exponential form is:

45049 = 19¹ × 2371¹

Step-3: Factors of 45030

List of positive integer factors of 45030 that divides 45030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 79, 95, 114, 158, 190, 237, 285, 395, 474, 570, 790, 1185, 1501, 2370, 3002, 4503, 7505, 9006, 15010, 22515

Step-4: Factors of 45049

List of positive integer factors of 45049 that divides 45030 without a remainder.

1, 19, 2371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45030 and 45049. The biggest common factor number is the GCF number.
So the greatest common factor 45030 and 45049 is 19.

Also check out the Least Common Multiple of 45030 and 45049