What is the Greatest Common Factor of 37764 and 37770?

Greatest common factor (GCF) of 37764 and 37770 is 6.

GCF(37764,37770) = 6

We will now calculate the prime factors of 37764 and 37770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37764 and 37770.

How to find the GCF of 37764 and 37770?

We will first find the prime factorization of 37764 and 37770. After we will calculate the factors of 37764 and 37770 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 37770

Prime factors of 37770 are 2, 3, 5, 1259. Prime factorization of 37770 in exponential form is:

37770 = 2¹ × 3¹ × 5¹ × 1259¹

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 37770

List of positive integer factors of 37770 that divides 37764 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1259, 2518, 3777, 6295, 7554, 12590, 18885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37764 and 37770. The biggest common factor number is the GCF number.
So the greatest common factor 37764 and 37770 is 6.

Also check out the Least Common Multiple of 37764 and 37770