What is the Greatest Common Factor of 67048 and 67065?

Greatest common factor (GCF) of 67048 and 67065 is 17.

GCF(67048,67065) = 17

We will now calculate the prime factors of 67048 and 67065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67048 and 67065.

How to find the GCF of 67048 and 67065?

We will first find the prime factorization of 67048 and 67065. After we will calculate the factors of 67048 and 67065 and find the biggest common factor number .

Step-1: Prime Factorization of 67048

Prime factors of 67048 are 2, 17, 29. Prime factorization of 67048 in exponential form is:

67048 = 2³ × 17² × 29¹

Step-2: Prime Factorization of 67065

Prime factors of 67065 are 3, 5, 17, 263. Prime factorization of 67065 in exponential form is:

67065 = 3¹ × 5¹ × 17¹ × 263¹

Step-3: Factors of 67048

List of positive integer factors of 67048 that divides 67048 without a remainder.

1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524

Step-4: Factors of 67065

List of positive integer factors of 67065 that divides 67048 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 263, 789, 1315, 3945, 4471, 13413, 22355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67048 and 67065. The biggest common factor number is the GCF number.
So the greatest common factor 67048 and 67065 is 17.

Also check out the Least Common Multiple of 67048 and 67065