What is the Greatest Common Factor of 73225 and 73235?

Greatest common factor (GCF) of 73225 and 73235 is 5.

GCF(73225,73235) = 5

We will now calculate the prime factors of 73225 and 73235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73225 and 73235.

How to find the GCF of 73225 and 73235?

We will first find the prime factorization of 73225 and 73235. After we will calculate the factors of 73225 and 73235 and find the biggest common factor number .

Step-1: Prime Factorization of 73225

Prime factors of 73225 are 5, 29, 101. Prime factorization of 73225 in exponential form is:

73225 = 5² × 29¹ × 101¹

Step-2: Prime Factorization of 73235

Prime factors of 73235 are 5, 97, 151. Prime factorization of 73235 in exponential form is:

73235 = 5¹ × 97¹ × 151¹

Step-3: Factors of 73225

List of positive integer factors of 73225 that divides 73225 without a remainder.

1, 5, 25, 29, 101, 145, 505, 725, 2525, 2929, 14645

Step-4: Factors of 73235

List of positive integer factors of 73235 that divides 73225 without a remainder.

1, 5, 97, 151, 485, 755, 14647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73225 and 73235. The biggest common factor number is the GCF number.
So the greatest common factor 73225 and 73235 is 5.

Also check out the Least Common Multiple of 73225 and 73235