What is the Greatest Common Factor of 25039 and 25053?

Greatest common factor (GCF) of 25039 and 25053 is 7.

GCF(25039,25053) = 7

We will now calculate the prime factors of 25039 and 25053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25039 and 25053.

How to find the GCF of 25039 and 25053?

We will first find the prime factorization of 25039 and 25053. After we will calculate the factors of 25039 and 25053 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 25053

Prime factors of 25053 are 3, 7, 1193. Prime factorization of 25053 in exponential form is:

25053 = 3¹ × 7¹ × 1193¹

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 25053

List of positive integer factors of 25053 that divides 25039 without a remainder.

1, 3, 7, 21, 1193, 3579, 8351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25039 and 25053. The biggest common factor number is the GCF number.
So the greatest common factor 25039 and 25053 is 7.

Also check out the Least Common Multiple of 25039 and 25053