What is the Greatest Common Factor of 25003 and 25008?

Greatest common factor (GCF) of 25003 and 25008 is 1.

GCF(25003,25008) = 1

We will now calculate the prime factors of 25003 and 25008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25003 and 25008.

How to find the GCF of 25003 and 25008?

We will first find the prime factorization of 25003 and 25008. After we will calculate the factors of 25003 and 25008 and find the biggest common factor number .

Step-1: Prime Factorization of 25003

Prime factors of 25003 are 11, 2273. Prime factorization of 25003 in exponential form is:

25003 = 11¹ × 2273¹

Step-2: Prime Factorization of 25008

Prime factors of 25008 are 2, 3, 521. Prime factorization of 25008 in exponential form is:

25008 = 2⁴ × 3¹ × 521¹

Step-3: Factors of 25003

List of positive integer factors of 25003 that divides 25003 without a remainder.

1, 11, 2273

Step-4: Factors of 25008

List of positive integer factors of 25008 that divides 25003 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 521, 1042, 1563, 2084, 3126, 4168, 6252, 8336, 12504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25003 and 25008. The biggest common factor number is the GCF number.
So the greatest common factor 25003 and 25008 is 1.

Also check out the Least Common Multiple of 25003 and 25008