What is the Greatest Common Factor of 66738 and 66749?

Greatest common factor (GCF) of 66738 and 66749 is 1.

GCF(66738,66749) = 1

We will now calculate the prime factors of 66738 and 66749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66738 and 66749.

How to find the GCF of 66738 and 66749?

We will first find the prime factorization of 66738 and 66749. After we will calculate the factors of 66738 and 66749 and find the biggest common factor number .

Step-1: Prime Factorization of 66738

Prime factors of 66738 are 2, 3, 7, 227. Prime factorization of 66738 in exponential form is:

66738 = 2¹ × 3¹ × 7² × 227¹

Step-2: Prime Factorization of 66749

Prime factors of 66749 are 66749. Prime factorization of 66749 in exponential form is:

66749 = 66749¹

Step-3: Factors of 66738

List of positive integer factors of 66738 that divides 66738 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 227, 294, 454, 681, 1362, 1589, 3178, 4767, 9534, 11123, 22246, 33369

Step-4: Factors of 66749

List of positive integer factors of 66749 that divides 66738 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66738 and 66749. The biggest common factor number is the GCF number.
So the greatest common factor 66738 and 66749 is 1.

Also check out the Least Common Multiple of 66738 and 66749