What is the Greatest Common Factor of 72224 and 72242?

Greatest common factor (GCF) of 72224 and 72242 is 2.

GCF(72224,72242) = 2

We will now calculate the prime factors of 72224 and 72242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72224 and 72242.

How to find the GCF of 72224 and 72242?

We will first find the prime factorization of 72224 and 72242. After we will calculate the factors of 72224 and 72242 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 72242

Prime factors of 72242 are 2, 41, 881. Prime factorization of 72242 in exponential form is:

72242 = 2¹ × 41¹ × 881¹

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 72242

List of positive integer factors of 72242 that divides 72224 without a remainder.

1, 2, 41, 82, 881, 1762, 36121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72224 and 72242. The biggest common factor number is the GCF number.
So the greatest common factor 72224 and 72242 is 2.

Also check out the Least Common Multiple of 72224 and 72242