What is the Greatest Common Factor of 37224 and 37238?

Greatest common factor (GCF) of 37224 and 37238 is 2.

GCF(37224,37238) = 2

We will now calculate the prime factors of 37224 and 37238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37224 and 37238.

How to find the GCF of 37224 and 37238?

We will first find the prime factorization of 37224 and 37238. After we will calculate the factors of 37224 and 37238 and find the biggest common factor number .

Step-1: Prime Factorization of 37224

Prime factors of 37224 are 2, 3, 11, 47. Prime factorization of 37224 in exponential form is:

37224 = 2³ × 3² × 11¹ × 47¹

Step-2: Prime Factorization of 37238

Prime factors of 37238 are 2, 43, 433. Prime factorization of 37238 in exponential form is:

37238 = 2¹ × 43¹ × 433¹

Step-3: Factors of 37224

List of positive integer factors of 37224 that divides 37224 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 47, 66, 72, 88, 94, 99, 132, 141, 188, 198, 264, 282, 376, 396, 423, 517, 564, 792, 846, 1034, 1128, 1551, 1692, 2068, 3102, 3384, 4136, 4653, 6204, 9306, 12408, 18612

Step-4: Factors of 37238

List of positive integer factors of 37238 that divides 37224 without a remainder.

1, 2, 43, 86, 433, 866, 18619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37224 and 37238. The biggest common factor number is the GCF number.
So the greatest common factor 37224 and 37238 is 2.

Also check out the Least Common Multiple of 37224 and 37238