What is the Greatest Common Factor of 1414 and 1423?

Greatest common factor (GCF) of 1414 and 1423 is 1.

GCF(1414,1423) = 1

We will now calculate the prime factors of 1414 and 1423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1414 and 1423.

How to find the GCF of 1414 and 1423?

We will first find the prime factorization of 1414 and 1423. After we will calculate the factors of 1414 and 1423 and find the biggest common factor number .

Step-1: Prime Factorization of 1414

Prime factors of 1414 are 2, 7, 101. Prime factorization of 1414 in exponential form is:

1414 = 2¹ × 7¹ × 101¹

Step-2: Prime Factorization of 1423

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 1423¹

Step-3: Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1, 2, 7, 14, 101, 202, 707

Step-4: Factors of 1423

List of positive integer factors of 1423 that divides 1414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1414 and 1423. The biggest common factor number is the GCF number.
So the greatest common factor 1414 and 1423 is 1.

Also check out the Least Common Multiple of 1414 and 1423