What is the Greatest Common Factor of 73219 and 73225?

Greatest common factor (GCF) of 73219 and 73225 is 1.

GCF(73219,73225) = 1

We will now calculate the prime factors of 73219 and 73225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73219 and 73225.

How to find the GCF of 73219 and 73225?

We will first find the prime factorization of 73219 and 73225. After we will calculate the factors of 73219 and 73225 and find the biggest common factor number .

Step-1: Prime Factorization of 73219

Prime factors of 73219 are 17, 59, 73. Prime factorization of 73219 in exponential form is:

73219 = 17¹ × 59¹ × 73¹

Step-2: 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-3: Factors of 73219

List of positive integer factors of 73219 that divides 73219 without a remainder.

1, 17, 59, 73, 1003, 1241, 4307

Step-4: Factors of 73225

List of positive integer factors of 73225 that divides 73219 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73219 and 73225. The biggest common factor number is the GCF number.
So the greatest common factor 73219 and 73225 is 1.

Also check out the Least Common Multiple of 73219 and 73225