What is the Greatest Common Factor of 66625 and 66638?

Greatest common factor (GCF) of 66625 and 66638 is 13.

GCF(66625,66638) = 13

We will now calculate the prime factors of 66625 and 66638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66625 and 66638.

How to find the GCF of 66625 and 66638?

We will first find the prime factorization of 66625 and 66638. After we will calculate the factors of 66625 and 66638 and find the biggest common factor number .

Step-1: Prime Factorization of 66625

Prime factors of 66625 are 5, 13, 41. Prime factorization of 66625 in exponential form is:

66625 = 5³ × 13¹ × 41¹

Step-2: Prime Factorization of 66638

Prime factors of 66638 are 2, 11, 13, 233. Prime factorization of 66638 in exponential form is:

66638 = 2¹ × 11¹ × 13¹ × 233¹

Step-3: Factors of 66625

List of positive integer factors of 66625 that divides 66625 without a remainder.

1, 5, 13, 25, 41, 65, 125, 205, 325, 533, 1025, 1625, 2665, 5125, 13325

Step-4: Factors of 66638

List of positive integer factors of 66638 that divides 66625 without a remainder.

1, 2, 11, 13, 22, 26, 143, 233, 286, 466, 2563, 3029, 5126, 6058, 33319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66625 and 66638. The biggest common factor number is the GCF number.
So the greatest common factor 66625 and 66638 is 13.

Also check out the Least Common Multiple of 66625 and 66638