What is the Greatest Common Factor of 37764 and 37776?

Greatest common factor (GCF) of 37764 and 37776 is 12.

GCF(37764,37776) = 12

We will now calculate the prime factors of 37764 and 37776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37764 and 37776.

How to find the GCF of 37764 and 37776?

We will first find the prime factorization of 37764 and 37776. After we will calculate the factors of 37764 and 37776 and find the biggest common factor number .

Step-1: Prime Factorization of 37764

Prime factors of 37764 are 2, 3, 1049. Prime factorization of 37764 in exponential form is:

37764 = 2² × 3² × 1049¹

Step-2: 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-3: Factors of 37764

List of positive integer factors of 37764 that divides 37764 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1049, 2098, 3147, 4196, 6294, 9441, 12588, 18882

Step-4: Factors of 37776

List of positive integer factors of 37776 that divides 37764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37764 and 37776. The biggest common factor number is the GCF number.
So the greatest common factor 37764 and 37776 is 12.

Also check out the Least Common Multiple of 37764 and 37776