What is the Greatest Common Factor of 68134 and 68153?

Greatest common factor (GCF) of 68134 and 68153 is 19.

GCF(68134,68153) = 19

We will now calculate the prime factors of 68134 and 68153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68134 and 68153.

How to find the GCF of 68134 and 68153?

We will first find the prime factorization of 68134 and 68153. After we will calculate the factors of 68134 and 68153 and find the biggest common factor number .

Step-1: Prime Factorization of 68134

Prime factors of 68134 are 2, 11, 19, 163. Prime factorization of 68134 in exponential form is:

68134 = 2¹ × 11¹ × 19¹ × 163¹

Step-2: Prime Factorization of 68153

Prime factors of 68153 are 17, 19, 211. Prime factorization of 68153 in exponential form is:

68153 = 17¹ × 19¹ × 211¹

Step-3: Factors of 68134

List of positive integer factors of 68134 that divides 68134 without a remainder.

1, 2, 11, 19, 22, 38, 163, 209, 326, 418, 1793, 3097, 3586, 6194, 34067

Step-4: Factors of 68153

List of positive integer factors of 68153 that divides 68134 without a remainder.

1, 17, 19, 211, 323, 3587, 4009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68134 and 68153. The biggest common factor number is the GCF number.
So the greatest common factor 68134 and 68153 is 19.

Also check out the Least Common Multiple of 68134 and 68153