What is the Greatest Common Factor of 66274 and 66288?

Greatest common factor (GCF) of 66274 and 66288 is 2.

GCF(66274,66288) = 2

We will now calculate the prime factors of 66274 and 66288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66274 and 66288.

How to find the GCF of 66274 and 66288?

We will first find the prime factorization of 66274 and 66288. After we will calculate the factors of 66274 and 66288 and find the biggest common factor number .

Step-1: Prime Factorization of 66274

Prime factors of 66274 are 2, 13, 2549. Prime factorization of 66274 in exponential form is:

66274 = 2¹ × 13¹ × 2549¹

Step-2: Prime Factorization of 66288

Prime factors of 66288 are 2, 3, 1381. Prime factorization of 66288 in exponential form is:

66288 = 2⁴ × 3¹ × 1381¹

Step-3: Factors of 66274

List of positive integer factors of 66274 that divides 66274 without a remainder.

1, 2, 13, 26, 2549, 5098, 33137

Step-4: Factors of 66288

List of positive integer factors of 66288 that divides 66274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1381, 2762, 4143, 5524, 8286, 11048, 16572, 22096, 33144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66274 and 66288. The biggest common factor number is the GCF number.
So the greatest common factor 66274 and 66288 is 2.

Also check out the Least Common Multiple of 66274 and 66288