What is the Greatest Common Factor of 67034 and 67045?

Greatest common factor (GCF) of 67034 and 67045 is 11.

GCF(67034,67045) = 11

We will now calculate the prime factors of 67034 and 67045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67034 and 67045.

How to find the GCF of 67034 and 67045?

We will first find the prime factorization of 67034 and 67045. After we will calculate the factors of 67034 and 67045 and find the biggest common factor number .

Step-1: Prime Factorization of 67034

Prime factors of 67034 are 2, 11, 277. Prime factorization of 67034 in exponential form is:

67034 = 2¹ × 11² × 277¹

Step-2: Prime Factorization of 67045

Prime factors of 67045 are 5, 11, 23, 53. Prime factorization of 67045 in exponential form is:

67045 = 5¹ × 11¹ × 23¹ × 53¹

Step-3: Factors of 67034

List of positive integer factors of 67034 that divides 67034 without a remainder.

1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517

Step-4: Factors of 67045

List of positive integer factors of 67045 that divides 67034 without a remainder.

1, 5, 11, 23, 53, 55, 115, 253, 265, 583, 1219, 1265, 2915, 6095, 13409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67034 and 67045. The biggest common factor number is the GCF number.
So the greatest common factor 67034 and 67045 is 11.

Also check out the Least Common Multiple of 67034 and 67045