What is the Greatest Common Factor of 67106 and 67123?

Greatest common factor (GCF) of 67106 and 67123 is 1.

GCF(67106,67123) = 1

We will now calculate the prime factors of 67106 and 67123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67106 and 67123.

How to find the GCF of 67106 and 67123?

We will first find the prime factorization of 67106 and 67123. After we will calculate the factors of 67106 and 67123 and find the biggest common factor number .

Step-1: Prime Factorization of 67106

Prime factors of 67106 are 2, 13, 29, 89. Prime factorization of 67106 in exponential form is:

67106 = 2¹ × 13¹ × 29¹ × 89¹

Step-2: Prime Factorization of 67123

Prime factors of 67123 are 7, 43, 223. Prime factorization of 67123 in exponential form is:

67123 = 7¹ × 43¹ × 223¹

Step-3: Factors of 67106

List of positive integer factors of 67106 that divides 67106 without a remainder.

1, 2, 13, 26, 29, 58, 89, 178, 377, 754, 1157, 2314, 2581, 5162, 33553

Step-4: Factors of 67123

List of positive integer factors of 67123 that divides 67106 without a remainder.

1, 7, 43, 223, 301, 1561, 9589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67106 and 67123. The biggest common factor number is the GCF number.
So the greatest common factor 67106 and 67123 is 1.

Also check out the Least Common Multiple of 67106 and 67123