What is the Greatest Common Factor of 37224 and 37242?

Greatest common factor (GCF) of 37224 and 37242 is 18.

GCF(37224,37242) = 18

We will now calculate the prime factors of 37224 and 37242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37224 and 37242.

How to find the GCF of 37224 and 37242?

We will first find the prime factorization of 37224 and 37242. After we will calculate the factors of 37224 and 37242 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 37242

Prime factors of 37242 are 2, 3, 2069. Prime factorization of 37242 in exponential form is:

37242 = 2¹ × 3² × 2069¹

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 37242

List of positive integer factors of 37242 that divides 37224 without a remainder.

1, 2, 3, 6, 9, 18, 2069, 4138, 6207, 12414, 18621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37224 and 37242. The biggest common factor number is the GCF number.
So the greatest common factor 37224 and 37242 is 18.

Also check out the Least Common Multiple of 37224 and 37242