What is the Greatest Common Factor of 37776 and 37788?

Greatest common factor (GCF) of 37776 and 37788 is 12.

GCF(37776,37788) = 12

We will now calculate the prime factors of 37776 and 37788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37776 and 37788.

How to find the GCF of 37776 and 37788?

We will first find the prime factorization of 37776 and 37788. After we will calculate the factors of 37776 and 37788 and find the biggest common factor number .

Step-1: Prime Factorization of 37776

Prime factors of 37776 are 2, 3, 787. Prime factorization of 37776 in exponential form is:

37776 = 2⁴ × 3¹ × 787¹

Step-2: Prime Factorization of 37788

Prime factors of 37788 are 2, 3, 47, 67. Prime factorization of 37788 in exponential form is:

37788 = 2² × 3¹ × 47¹ × 67¹

Step-3: Factors of 37776

List of positive integer factors of 37776 that divides 37776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 787, 1574, 2361, 3148, 4722, 6296, 9444, 12592, 18888

Step-4: Factors of 37788

List of positive integer factors of 37788 that divides 37776 without a remainder.

1, 2, 3, 4, 6, 12, 47, 67, 94, 134, 141, 188, 201, 268, 282, 402, 564, 804, 3149, 6298, 9447, 12596, 18894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37776 and 37788. The biggest common factor number is the GCF number.
So the greatest common factor 37776 and 37788 is 12.

Also check out the Least Common Multiple of 37776 and 37788