What is the Greatest Common Factor of 37768 and 37774?

Greatest common factor (GCF) of 37768 and 37774 is 2.

GCF(37768,37774) = 2

We will now calculate the prime factors of 37768 and 37774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37768 and 37774.

How to find the GCF of 37768 and 37774?

We will first find the prime factorization of 37768 and 37774. After we will calculate the factors of 37768 and 37774 and find the biggest common factor number .

Step-1: Prime Factorization of 37768

Prime factors of 37768 are 2, 4721. Prime factorization of 37768 in exponential form is:

37768 = 2³ × 4721¹

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 37768

List of positive integer factors of 37768 that divides 37768 without a remainder.

1, 2, 4, 8, 4721, 9442, 18884

Step-4: Factors of 37774

List of positive integer factors of 37774 that divides 37768 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 37768 and 37774. The biggest common factor number is the GCF number.
So the greatest common factor 37768 and 37774 is 2.

Also check out the Least Common Multiple of 37768 and 37774