What is the Greatest Common Factor of 66274 and 66287?

Greatest common factor (GCF) of 66274 and 66287 is 13.

GCF(66274,66287) = 13

We will now calculate the prime factors of 66274 and 66287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66274 and 66287.

How to find the GCF of 66274 and 66287?

We will first find the prime factorization of 66274 and 66287. After we will calculate the factors of 66274 and 66287 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 66287

Prime factors of 66287 are 13, 5099. Prime factorization of 66287 in exponential form is:

66287 = 13¹ × 5099¹

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 66287

List of positive integer factors of 66287 that divides 66274 without a remainder.

1, 13, 5099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66274 and 66287. The biggest common factor number is the GCF number.
So the greatest common factor 66274 and 66287 is 13.

Also check out the Least Common Multiple of 66274 and 66287