What is the Greatest Common Factor of 66248 and 66261?

Greatest common factor (GCF) of 66248 and 66261 is 13.

GCF(66248,66261) = 13

We will now calculate the prime factors of 66248 and 66261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66248 and 66261.

How to find the GCF of 66248 and 66261?

We will first find the prime factorization of 66248 and 66261. After we will calculate the factors of 66248 and 66261 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66261

Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:

66261 = 3¹ × 13¹ × 1699¹

Step-3: Factors of 66248

List of positive integer factors of 66248 that divides 66248 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

Step-4: Factors of 66261

List of positive integer factors of 66261 that divides 66248 without a remainder.

1, 3, 13, 39, 1699, 5097, 22087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66248 and 66261. The biggest common factor number is the GCF number.
So the greatest common factor 66248 and 66261 is 13.

Also check out the Least Common Multiple of 66248 and 66261