What is the Greatest Common Factor of 37774 and 37785?

Greatest common factor (GCF) of 37774 and 37785 is 11.

GCF(37774,37785) = 11

We will now calculate the prime factors of 37774 and 37785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37774 and 37785.

How to find the GCF of 37774 and 37785?

We will first find the prime factorization of 37774 and 37785. After we will calculate the factors of 37774 and 37785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37785

Prime factors of 37785 are 3, 5, 11, 229. Prime factorization of 37785 in exponential form is:

37785 = 3¹ × 5¹ × 11¹ × 229¹

Step-3: Factors of 37774

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

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

Step-4: Factors of 37785

List of positive integer factors of 37785 that divides 37774 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 229, 687, 1145, 2519, 3435, 7557, 12595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37774 and 37785. The biggest common factor number is the GCF number.
So the greatest common factor 37774 and 37785 is 11.

Also check out the Least Common Multiple of 37774 and 37785