What is the Greatest Common Factor of 5425 and 5439?

Greatest common factor (GCF) of 5425 and 5439 is 7.

GCF(5425,5439) = 7

We will now calculate the prime factors of 5425 and 5439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5425 and 5439.

How to find the GCF of 5425 and 5439?

We will first find the prime factorization of 5425 and 5439. After we will calculate the factors of 5425 and 5439 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5439

Prime factors of 5439 are 3, 7, 37. Prime factorization of 5439 in exponential form is:

5439 = 3¹ × 7² × 37¹

Step-3: Factors of 5425

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

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

Step-4: Factors of 5439

List of positive integer factors of 5439 that divides 5425 without a remainder.

1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5425 and 5439. The biggest common factor number is the GCF number.
So the greatest common factor 5425 and 5439 is 7.

Also check out the Least Common Multiple of 5425 and 5439