What is the Greatest Common Factor of 72205 and 72224?

Greatest common factor (GCF) of 72205 and 72224 is 1.

GCF(72205,72224) = 1

We will now calculate the prime factors of 72205 and 72224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72205 and 72224.

How to find the GCF of 72205 and 72224?

We will first find the prime factorization of 72205 and 72224. After we will calculate the factors of 72205 and 72224 and find the biggest common factor number .

Step-1: Prime Factorization of 72205

Prime factors of 72205 are 5, 7, 2063. Prime factorization of 72205 in exponential form is:

72205 = 5¹ × 7¹ × 2063¹

Step-2: Prime Factorization of 72224

Prime factors of 72224 are 2, 37, 61. Prime factorization of 72224 in exponential form is:

72224 = 2⁵ × 37¹ × 61¹

Step-3: Factors of 72205

List of positive integer factors of 72205 that divides 72205 without a remainder.

1, 5, 7, 35, 2063, 10315, 14441

Step-4: Factors of 72224

List of positive integer factors of 72224 that divides 72205 without a remainder.

1, 2, 4, 8, 16, 32, 37, 61, 74, 122, 148, 244, 296, 488, 592, 976, 1184, 1952, 2257, 4514, 9028, 18056, 36112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72205 and 72224. The biggest common factor number is the GCF number.
So the greatest common factor 72205 and 72224 is 1.

Also check out the Least Common Multiple of 72205 and 72224