What is the Greatest Common Factor of 37632 and 37643?

Greatest common factor (GCF) of 37632 and 37643 is 1.

GCF(37632,37643) = 1

We will now calculate the prime factors of 37632 and 37643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37632 and 37643.

How to find the GCF of 37632 and 37643?

We will first find the prime factorization of 37632 and 37643. After we will calculate the factors of 37632 and 37643 and find the biggest common factor number .

Step-1: Prime Factorization of 37632

Prime factors of 37632 are 2, 3, 7. Prime factorization of 37632 in exponential form is:

37632 = 2⁸ × 3¹ × 7²

Step-2: Prime Factorization of 37643

Prime factors of 37643 are 37643. Prime factorization of 37643 in exponential form is:

37643 = 37643¹

Step-3: Factors of 37632

List of positive integer factors of 37632 that divides 37632 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 128, 147, 168, 192, 196, 224, 256, 294, 336, 384, 392, 448, 588, 672, 768, 784, 896, 1176, 1344, 1568, 1792, 2352, 2688, 3136, 4704, 5376, 6272, 9408, 12544, 18816

Step-4: Factors of 37643

List of positive integer factors of 37643 that divides 37632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37632 and 37643. The biggest common factor number is the GCF number.
So the greatest common factor 37632 and 37643 is 1.

Also check out the Least Common Multiple of 37632 and 37643