What is the Greatest Common Factor of 66238 and 66248?

Greatest common factor (GCF) of 66238 and 66248 is 2.

GCF(66238,66248) = 2

We will now calculate the prime factors of 66238 and 66248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66238 and 66248.

How to find the GCF of 66238 and 66248?

We will first find the prime factorization of 66238 and 66248. After we will calculate the factors of 66238 and 66248 and find the biggest common factor number .

Step-1: Prime Factorization of 66238

Prime factors of 66238 are 2, 33119. Prime factorization of 66238 in exponential form is:

66238 = 2¹ × 33119¹

Step-2: Prime Factorization of 66248

Prime factors of 66248 are 2, 7, 13. Prime factorization of 66248 in exponential form is:

66248 = 2³ × 7² × 13²

Step-3: Factors of 66238

List of positive integer factors of 66238 that divides 66238 without a remainder.

1, 2, 33119

Step-4: Factors of 66248

List of positive integer factors of 66248 that divides 66238 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 169, 182, 196, 338, 364, 392, 637, 676, 728, 1183, 1274, 1352, 2366, 2548, 4732, 5096, 8281, 9464, 16562, 33124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66238 and 66248. The biggest common factor number is the GCF number.
So the greatest common factor 66238 and 66248 is 2.

Also check out the Least Common Multiple of 66238 and 66248