What is the Greatest Common Factor of 66738 and 66745?

Greatest common factor (GCF) of 66738 and 66745 is 7.

GCF(66738,66745) = 7

We will now calculate the prime factors of 66738 and 66745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66738 and 66745.

How to find the GCF of 66738 and 66745?

We will first find the prime factorization of 66738 and 66745. After we will calculate the factors of 66738 and 66745 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 66745

Prime factors of 66745 are 5, 7, 1907. Prime factorization of 66745 in exponential form is:

66745 = 5¹ × 7¹ × 1907¹

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 66745

List of positive integer factors of 66745 that divides 66738 without a remainder.

1, 5, 7, 35, 1907, 9535, 13349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66738 and 66745. The biggest common factor number is the GCF number.
So the greatest common factor 66738 and 66745 is 7.

Also check out the Least Common Multiple of 66738 and 66745