What is the Greatest Common Factor of 1414 and 1425?

Greatest common factor (GCF) of 1414 and 1425 is 1.

GCF(1414,1425) = 1

We will now calculate the prime factors of 1414 and 1425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1414 and 1425.

How to find the GCF of 1414 and 1425?

We will first find the prime factorization of 1414 and 1425. After we will calculate the factors of 1414 and 1425 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 1425

Prime factors of 1425 are 3, 5, 19. Prime factorization of 1425 in exponential form is:

1425 = 3¹ × 5² × 19¹

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 1425

List of positive integer factors of 1425 that divides 1414 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1414 and 1425. The biggest common factor number is the GCF number.
So the greatest common factor 1414 and 1425 is 1.

Also check out the Least Common Multiple of 1414 and 1425