What is the Greatest Common Factor of 67048 and 67058?

Greatest common factor (GCF) of 67048 and 67058 is 2.

GCF(67048,67058) = 2

We will now calculate the prime factors of 67048 and 67058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67048 and 67058.

How to find the GCF of 67048 and 67058?

We will first find the prime factorization of 67048 and 67058. After we will calculate the factors of 67048 and 67058 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 67058

Prime factors of 67058 are 2, 33529. Prime factorization of 67058 in exponential form is:

67058 = 2¹ × 33529¹

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 67058

List of positive integer factors of 67058 that divides 67048 without a remainder.

1, 2, 33529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67048 and 67058. The biggest common factor number is the GCF number.
So the greatest common factor 67048 and 67058 is 2.

Also check out the Least Common Multiple of 67048 and 67058