What is the Greatest Common Factor of 36774 and 36778?

Greatest common factor (GCF) of 36774 and 36778 is 2.

GCF(36774,36778) = 2

We will now calculate the prime factors of 36774 and 36778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36774 and 36778.

How to find the GCF of 36774 and 36778?

We will first find the prime factorization of 36774 and 36778. After we will calculate the factors of 36774 and 36778 and find the biggest common factor number .

Step-1: Prime Factorization of 36774

Prime factors of 36774 are 2, 3, 227. Prime factorization of 36774 in exponential form is:

36774 = 2¹ × 3⁴ × 227¹

Step-2: Prime Factorization of 36778

Prime factors of 36778 are 2, 7, 37, 71. Prime factorization of 36778 in exponential form is:

36778 = 2¹ × 7¹ × 37¹ × 71¹

Step-3: Factors of 36774

List of positive integer factors of 36774 that divides 36774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 227, 454, 681, 1362, 2043, 4086, 6129, 12258, 18387

Step-4: Factors of 36778

List of positive integer factors of 36778 that divides 36774 without a remainder.

1, 2, 7, 14, 37, 71, 74, 142, 259, 497, 518, 994, 2627, 5254, 18389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36774 and 36778. The biggest common factor number is the GCF number.
So the greatest common factor 36774 and 36778 is 2.

Also check out the Least Common Multiple of 36774 and 36778