What is the Greatest Common Factor of 37632 and 37636?

Greatest common factor (GCF) of 37632 and 37636 is 4.

GCF(37632,37636) = 4

We will now calculate the prime factors of 37632 and 37636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37632 and 37636.

How to find the GCF of 37632 and 37636?

We will first find the prime factorization of 37632 and 37636. After we will calculate the factors of 37632 and 37636 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 37636

Prime factors of 37636 are 2, 97. Prime factorization of 37636 in exponential form is:

37636 = 2² × 97²

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 37636

List of positive integer factors of 37636 that divides 37632 without a remainder.

1, 2, 4, 97, 194, 388, 9409, 18818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37632 and 37636. The biggest common factor number is the GCF number.
So the greatest common factor 37632 and 37636 is 4.

Also check out the Least Common Multiple of 37632 and 37636