What is the Greatest Common Factor of 5414 and 5425?

Greatest common factor (GCF) of 5414 and 5425 is 1.

GCF(5414,5425) = 1

We will now calculate the prime factors of 5414 and 5425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5414 and 5425.

How to find the GCF of 5414 and 5425?

We will first find the prime factorization of 5414 and 5425. After we will calculate the factors of 5414 and 5425 and find the biggest common factor number .

Step-1: Prime Factorization of 5414

Prime factors of 5414 are 2, 2707. Prime factorization of 5414 in exponential form is:

5414 = 2¹ × 2707¹

Step-2: Prime Factorization of 5425

Prime factors of 5425 are 5, 7, 31. Prime factorization of 5425 in exponential form is:

5425 = 5² × 7¹ × 31¹

Step-3: Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707

Step-4: Factors of 5425

List of positive integer factors of 5425 that divides 5414 without a remainder.

1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5414 and 5425. The biggest common factor number is the GCF number.
So the greatest common factor 5414 and 5425 is 1.

Also check out the Least Common Multiple of 5414 and 5425