What is the Greatest Common Factor of 25039 and 25046?

Greatest common factor (GCF) of 25039 and 25046 is 7.

GCF(25039,25046) = 7

We will now calculate the prime factors of 25039 and 25046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25039 and 25046.

How to find the GCF of 25039 and 25046?

We will first find the prime factorization of 25039 and 25046. After we will calculate the factors of 25039 and 25046 and find the biggest common factor number .

Step-1: Prime Factorization of 25039

Prime factors of 25039 are 7, 73. Prime factorization of 25039 in exponential form is:

25039 = 7³ × 73¹

Step-2: Prime Factorization of 25046

Prime factors of 25046 are 2, 7, 1789. Prime factorization of 25046 in exponential form is:

25046 = 2¹ × 7¹ × 1789¹

Step-3: Factors of 25039

List of positive integer factors of 25039 that divides 25039 without a remainder.

1, 7, 49, 73, 343, 511, 3577

Step-4: Factors of 25046

List of positive integer factors of 25046 that divides 25039 without a remainder.

1, 2, 7, 14, 1789, 3578, 12523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25039 and 25046. The biggest common factor number is the GCF number.
So the greatest common factor 25039 and 25046 is 7.

Also check out the Least Common Multiple of 25039 and 25046