What is the Greatest Common Factor of 46224 and 46238?

Greatest common factor (GCF) of 46224 and 46238 is 2.

GCF(46224,46238) = 2

We will now calculate the prime factors of 46224 and 46238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46224 and 46238.

How to find the GCF of 46224 and 46238?

We will first find the prime factorization of 46224 and 46238. After we will calculate the factors of 46224 and 46238 and find the biggest common factor number .

Step-1: Prime Factorization of 46224

Prime factors of 46224 are 2, 3, 107. Prime factorization of 46224 in exponential form is:

46224 = 2⁴ × 3³ × 107¹

Step-2: Prime Factorization of 46238

Prime factors of 46238 are 2, 61, 379. Prime factorization of 46238 in exponential form is:

46238 = 2¹ × 61¹ × 379¹

Step-3: Factors of 46224

List of positive integer factors of 46224 that divides 46224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 107, 108, 144, 214, 216, 321, 428, 432, 642, 856, 963, 1284, 1712, 1926, 2568, 2889, 3852, 5136, 5778, 7704, 11556, 15408, 23112

Step-4: Factors of 46238

List of positive integer factors of 46238 that divides 46224 without a remainder.

1, 2, 61, 122, 379, 758, 23119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46224 and 46238. The biggest common factor number is the GCF number.
So the greatest common factor 46224 and 46238 is 2.

Also check out the Least Common Multiple of 46224 and 46238