What is the Greatest Common Factor of 25615 and 25624?

Greatest common factor (GCF) of 25615 and 25624 is 1.

GCF(25615,25624) = 1

We will now calculate the prime factors of 25615 and 25624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25615 and 25624.

How to find the GCF of 25615 and 25624?

We will first find the prime factorization of 25615 and 25624. After we will calculate the factors of 25615 and 25624 and find the biggest common factor number .

Step-1: Prime Factorization of 25615

Prime factors of 25615 are 5, 47, 109. Prime factorization of 25615 in exponential form is:

25615 = 5¹ × 47¹ × 109¹

Step-2: Prime Factorization of 25624

Prime factors of 25624 are 2, 3203. Prime factorization of 25624 in exponential form is:

25624 = 2³ × 3203¹

Step-3: Factors of 25615

List of positive integer factors of 25615 that divides 25615 without a remainder.

1, 5, 47, 109, 235, 545, 5123

Step-4: Factors of 25624

List of positive integer factors of 25624 that divides 25615 without a remainder.

1, 2, 4, 8, 3203, 6406, 12812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25615 and 25624. The biggest common factor number is the GCF number.
So the greatest common factor 25615 and 25624 is 1.

Also check out the Least Common Multiple of 25615 and 25624