What is the Greatest Common Factor of 66038 and 66042?

Greatest common factor (GCF) of 66038 and 66042 is 2.

GCF(66038,66042) = 2

We will now calculate the prime factors of 66038 and 66042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66038 and 66042.

How to find the GCF of 66038 and 66042?

We will first find the prime factorization of 66038 and 66042. After we will calculate the factors of 66038 and 66042 and find the biggest common factor number .

Step-1: Prime Factorization of 66038

Prime factors of 66038 are 2, 7, 53, 89. Prime factorization of 66038 in exponential form is:

66038 = 2¹ × 7¹ × 53¹ × 89¹

Step-2: Prime Factorization of 66042

Prime factors of 66042 are 2, 3, 1223. Prime factorization of 66042 in exponential form is:

66042 = 2¹ × 3³ × 1223¹

Step-3: Factors of 66038

List of positive integer factors of 66038 that divides 66038 without a remainder.

1, 2, 7, 14, 53, 89, 106, 178, 371, 623, 742, 1246, 4717, 9434, 33019

Step-4: Factors of 66042

List of positive integer factors of 66042 that divides 66038 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1223, 2446, 3669, 7338, 11007, 22014, 33021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66038 and 66042. The biggest common factor number is the GCF number.
So the greatest common factor 66038 and 66042 is 2.

Also check out the Least Common Multiple of 66038 and 66042