What is the Greatest Common Factor of 1414 and 1426?

Greatest common factor (GCF) of 1414 and 1426 is 2.

GCF(1414,1426) = 2

We will now calculate the prime factors of 1414 and 1426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1414 and 1426.

How to find the GCF of 1414 and 1426?

We will first find the prime factorization of 1414 and 1426. After we will calculate the factors of 1414 and 1426 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 1426

Prime factors of 1426 are 2, 23, 31. Prime factorization of 1426 in exponential form is:

1426 = 2¹ × 23¹ × 31¹

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 1426

List of positive integer factors of 1426 that divides 1414 without a remainder.

1, 2, 23, 31, 46, 62, 713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1414 and 1426. The biggest common factor number is the GCF number.
So the greatest common factor 1414 and 1426 is 2.

Also check out the Least Common Multiple of 1414 and 1426