What is the Greatest Common Factor of 37224 and 37243?

Greatest common factor (GCF) of 37224 and 37243 is 1.

GCF(37224,37243) = 1

We will now calculate the prime factors of 37224 and 37243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37224 and 37243.

How to find the GCF of 37224 and 37243?

We will first find the prime factorization of 37224 and 37243. After we will calculate the factors of 37224 and 37243 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 37243

Prime factors of 37243 are 37243. Prime factorization of 37243 in exponential form is:

37243 = 37243¹

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 37243

List of positive integer factors of 37243 that divides 37224 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37224 and 37243. The biggest common factor number is the GCF number.
So the greatest common factor 37224 and 37243 is 1.

Also check out the Least Common Multiple of 37224 and 37243