What is the Greatest Common Factor of 66235 and 66248?

Greatest common factor (GCF) of 66235 and 66248 is 13.

GCF(66235,66248) = 13

We will now calculate the prime factors of 66235 and 66248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66235 and 66248.

How to find the GCF of 66235 and 66248?

We will first find the prime factorization of 66235 and 66248. After we will calculate the factors of 66235 and 66248 and find the biggest common factor number .

Step-1: Prime Factorization of 66235

Prime factors of 66235 are 5, 13, 1019. Prime factorization of 66235 in exponential form is:

66235 = 5¹ × 13¹ × 1019¹

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 66235

List of positive integer factors of 66235 that divides 66235 without a remainder.

1, 5, 13, 65, 1019, 5095, 13247

Step-4: Factors of 66248

List of positive integer factors of 66248 that divides 66235 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 66235 and 66248. The biggest common factor number is the GCF number.
So the greatest common factor 66235 and 66248 is 13.

Also check out the Least Common Multiple of 66235 and 66248