What is the Greatest Common Factor of 25007 and 25024?

Greatest common factor (GCF) of 25007 and 25024 is 17.

GCF(25007,25024) = 17

We will now calculate the prime factors of 25007 and 25024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25007 and 25024.

How to find the GCF of 25007 and 25024?

We will first find the prime factorization of 25007 and 25024. After we will calculate the factors of 25007 and 25024 and find the biggest common factor number .

Step-1: Prime Factorization of 25007

Prime factors of 25007 are 17, 1471. Prime factorization of 25007 in exponential form is:

25007 = 17¹ × 1471¹

Step-2: Prime Factorization of 25024

Prime factors of 25024 are 2, 17, 23. Prime factorization of 25024 in exponential form is:

25024 = 2⁶ × 17¹ × 23¹

Step-3: Factors of 25007

List of positive integer factors of 25007 that divides 25007 without a remainder.

1, 17, 1471

Step-4: Factors of 25024

List of positive integer factors of 25024 that divides 25007 without a remainder.

1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 64, 68, 92, 136, 184, 272, 368, 391, 544, 736, 782, 1088, 1472, 1564, 3128, 6256, 12512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25007 and 25024. The biggest common factor number is the GCF number.
So the greatest common factor 25007 and 25024 is 17.

Also check out the Least Common Multiple of 25007 and 25024