What is the Greatest Common Factor of 66028 and 66038?

Greatest common factor (GCF) of 66028 and 66038 is 2.

GCF(66028,66038) = 2

We will now calculate the prime factors of 66028 and 66038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66028 and 66038.

How to find the GCF of 66028 and 66038?

We will first find the prime factorization of 66028 and 66038. After we will calculate the factors of 66028 and 66038 and find the biggest common factor number .

Step-1: Prime Factorization of 66028

Prime factors of 66028 are 2, 17, 971. Prime factorization of 66028 in exponential form is:

66028 = 2² × 17¹ × 971¹

Step-2: 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-3: Factors of 66028

List of positive integer factors of 66028 that divides 66028 without a remainder.

1, 2, 4, 17, 34, 68, 971, 1942, 3884, 16507, 33014

Step-4: Factors of 66038

List of positive integer factors of 66038 that divides 66028 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66028 and 66038. The biggest common factor number is the GCF number.
So the greatest common factor 66028 and 66038 is 2.

Also check out the Least Common Multiple of 66028 and 66038