What is the Greatest Common Factor of 25034 and 25048?

Greatest common factor (GCF) of 25034 and 25048 is 2.

GCF(25034,25048) = 2

We will now calculate the prime factors of 25034 and 25048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25034 and 25048.

How to find the GCF of 25034 and 25048?

We will first find the prime factorization of 25034 and 25048. After we will calculate the factors of 25034 and 25048 and find the biggest common factor number .

Step-1: Prime Factorization of 25034

Prime factors of 25034 are 2, 12517. Prime factorization of 25034 in exponential form is:

25034 = 2¹ × 12517¹

Step-2: Prime Factorization of 25048

Prime factors of 25048 are 2, 31, 101. Prime factorization of 25048 in exponential form is:

25048 = 2³ × 31¹ × 101¹

Step-3: Factors of 25034

List of positive integer factors of 25034 that divides 25034 without a remainder.

1, 2, 12517

Step-4: Factors of 25048

List of positive integer factors of 25048 that divides 25034 without a remainder.

1, 2, 4, 8, 31, 62, 101, 124, 202, 248, 404, 808, 3131, 6262, 12524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25034 and 25048. The biggest common factor number is the GCF number.
So the greatest common factor 25034 and 25048 is 2.

Also check out the Least Common Multiple of 25034 and 25048