What is the Greatest Common Factor of 25514 and 25534?

Greatest common factor (GCF) of 25514 and 25534 is 2.

GCF(25514,25534) = 2

We will now calculate the prime factors of 25514 and 25534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25514 and 25534.

How to find the GCF of 25514 and 25534?

We will first find the prime factorization of 25514 and 25534. After we will calculate the factors of 25514 and 25534 and find the biggest common factor number .

Step-1: Prime Factorization of 25514

Prime factors of 25514 are 2, 12757. Prime factorization of 25514 in exponential form is:

25514 = 2¹ × 12757¹

Step-2: Prime Factorization of 25534

Prime factors of 25534 are 2, 17, 751. Prime factorization of 25534 in exponential form is:

25534 = 2¹ × 17¹ × 751¹

Step-3: Factors of 25514

List of positive integer factors of 25514 that divides 25514 without a remainder.

1, 2, 12757

Step-4: Factors of 25534

List of positive integer factors of 25534 that divides 25514 without a remainder.

1, 2, 17, 34, 751, 1502, 12767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25514 and 25534. The biggest common factor number is the GCF number.
So the greatest common factor 25514 and 25534 is 2.

Also check out the Least Common Multiple of 25514 and 25534