What is the Greatest Common Factor of 73025 and 73030?

Greatest common factor (GCF) of 73025 and 73030 is 5.

GCF(73025,73030) = 5

We will now calculate the prime factors of 73025 and 73030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73025 and 73030.

How to find the GCF of 73025 and 73030?

We will first find the prime factorization of 73025 and 73030. After we will calculate the factors of 73025 and 73030 and find the biggest common factor number .

Step-1: Prime Factorization of 73025

Prime factors of 73025 are 5, 23, 127. Prime factorization of 73025 in exponential form is:

73025 = 5² × 23¹ × 127¹

Step-2: Prime Factorization of 73030

Prime factors of 73030 are 2, 5, 67, 109. Prime factorization of 73030 in exponential form is:

73030 = 2¹ × 5¹ × 67¹ × 109¹

Step-3: Factors of 73025

List of positive integer factors of 73025 that divides 73025 without a remainder.

1, 5, 23, 25, 115, 127, 575, 635, 2921, 3175, 14605

Step-4: Factors of 73030

List of positive integer factors of 73030 that divides 73025 without a remainder.

1, 2, 5, 10, 67, 109, 134, 218, 335, 545, 670, 1090, 7303, 14606, 36515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73025 and 73030. The biggest common factor number is the GCF number.
So the greatest common factor 73025 and 73030 is 5.

Also check out the Least Common Multiple of 73025 and 73030