What is the Greatest Common Factor of 67031 and 67048?

Greatest common factor (GCF) of 67031 and 67048 is 17.

GCF(67031,67048) = 17

We will now calculate the prime factors of 67031 and 67048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67031 and 67048.

How to find the GCF of 67031 and 67048?

We will first find the prime factorization of 67031 and 67048. After we will calculate the factors of 67031 and 67048 and find the biggest common factor number .

Step-1: Prime Factorization of 67031

Prime factors of 67031 are 17, 3943. Prime factorization of 67031 in exponential form is:

67031 = 17¹ × 3943¹

Step-2: 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-3: Factors of 67031

List of positive integer factors of 67031 that divides 67031 without a remainder.

1, 17, 3943

Step-4: Factors of 67048

List of positive integer factors of 67048 that divides 67031 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67031 and 67048. The biggest common factor number is the GCF number.
So the greatest common factor 67031 and 67048 is 17.

Also check out the Least Common Multiple of 67031 and 67048