What is the Greatest Common Factor of 37763 and 37774?

Greatest common factor (GCF) of 37763 and 37774 is 11.

GCF(37763,37774) = 11

We will now calculate the prime factors of 37763 and 37774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37763 and 37774.

How to find the GCF of 37763 and 37774?

We will first find the prime factorization of 37763 and 37774. After we will calculate the factors of 37763 and 37774 and find the biggest common factor number .

Step-1: Prime Factorization of 37763

Prime factors of 37763 are 11, 3433. Prime factorization of 37763 in exponential form is:

37763 = 11¹ × 3433¹

Step-2: Prime Factorization of 37774

Prime factors of 37774 are 2, 11, 17, 101. Prime factorization of 37774 in exponential form is:

37774 = 2¹ × 11¹ × 17¹ × 101¹

Step-3: Factors of 37763

List of positive integer factors of 37763 that divides 37763 without a remainder.

1, 11, 3433

Step-4: Factors of 37774

List of positive integer factors of 37774 that divides 37763 without a remainder.

1, 2, 11, 17, 22, 34, 101, 187, 202, 374, 1111, 1717, 2222, 3434, 18887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37763 and 37774. The biggest common factor number is the GCF number.
So the greatest common factor 37763 and 37774 is 11.

Also check out the Least Common Multiple of 37763 and 37774