What is the Greatest Common Factor of 73015 and 73025?

Greatest common factor (GCF) of 73015 and 73025 is 5.

GCF(73015,73025) = 5

We will now calculate the prime factors of 73015 and 73025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73015 and 73025.

How to find the GCF of 73015 and 73025?

We will first find the prime factorization of 73015 and 73025. After we will calculate the factors of 73015 and 73025 and find the biggest common factor number .

Step-1: Prime Factorization of 73015

Prime factors of 73015 are 5, 17, 859. Prime factorization of 73015 in exponential form is:

73015 = 5¹ × 17¹ × 859¹

Step-2: 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-3: Factors of 73015

List of positive integer factors of 73015 that divides 73015 without a remainder.

1, 5, 17, 85, 859, 4295, 14603

Step-4: Factors of 73025

List of positive integer factors of 73025 that divides 73015 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73015 and 73025. The biggest common factor number is the GCF number.
So the greatest common factor 73015 and 73025 is 5.

Also check out the Least Common Multiple of 73015 and 73025