What is the Greatest Common Factor of 66138 and 66152?

Greatest common factor (GCF) of 66138 and 66152 is 2.

GCF(66138,66152) = 2

We will now calculate the prime factors of 66138 and 66152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66138 and 66152.

How to find the GCF of 66138 and 66152?

We will first find the prime factorization of 66138 and 66152. After we will calculate the factors of 66138 and 66152 and find the biggest common factor number .

Step-1: Prime Factorization of 66138

Prime factors of 66138 are 2, 3, 73, 151. Prime factorization of 66138 in exponential form is:

66138 = 2¹ × 3¹ × 73¹ × 151¹

Step-2: Prime Factorization of 66152

Prime factors of 66152 are 2, 8269. Prime factorization of 66152 in exponential form is:

66152 = 2³ × 8269¹

Step-3: Factors of 66138

List of positive integer factors of 66138 that divides 66138 without a remainder.

1, 2, 3, 6, 73, 146, 151, 219, 302, 438, 453, 906, 11023, 22046, 33069

Step-4: Factors of 66152

List of positive integer factors of 66152 that divides 66138 without a remainder.

1, 2, 4, 8, 8269, 16538, 33076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66138 and 66152. The biggest common factor number is the GCF number.
So the greatest common factor 66138 and 66152 is 2.

Also check out the Least Common Multiple of 66138 and 66152