What is the Greatest Common Factor of 45025 and 45030?

Greatest common factor (GCF) of 45025 and 45030 is 5.

GCF(45025,45030) = 5

We will now calculate the prime factors of 45025 and 45030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45025 and 45030.

How to find the GCF of 45025 and 45030?

We will first find the prime factorization of 45025 and 45030. After we will calculate the factors of 45025 and 45030 and find the biggest common factor number .

Step-1: Prime Factorization of 45025

Prime factors of 45025 are 5, 1801. Prime factorization of 45025 in exponential form is:

45025 = 5² × 1801¹

Step-2: 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-3: Factors of 45025

List of positive integer factors of 45025 that divides 45025 without a remainder.

1, 5, 25, 1801, 9005

Step-4: Factors of 45030

List of positive integer factors of 45030 that divides 45025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45025 and 45030. The biggest common factor number is the GCF number.
So the greatest common factor 45025 and 45030 is 5.

Also check out the Least Common Multiple of 45025 and 45030