What is the Greatest Common Factor of 72224 and 72234?

Greatest common factor (GCF) of 72224 and 72234 is 2.

GCF(72224,72234) = 2

We will now calculate the prime factors of 72224 and 72234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72224 and 72234.

How to find the GCF of 72224 and 72234?

We will first find the prime factorization of 72224 and 72234. After we will calculate the factors of 72224 and 72234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72234

Prime factors of 72234 are 2, 3, 4013. Prime factorization of 72234 in exponential form is:

72234 = 2¹ × 3² × 4013¹

Step-3: Factors of 72224

List of positive integer factors of 72224 that divides 72224 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

Step-4: Factors of 72234

List of positive integer factors of 72234 that divides 72224 without a remainder.

1, 2, 3, 6, 9, 18, 4013, 8026, 12039, 24078, 36117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72224 and 72234. The biggest common factor number is the GCF number.
So the greatest common factor 72224 and 72234 is 2.

Also check out the Least Common Multiple of 72224 and 72234