What is the Greatest Common Factor of 25415 and 25435?

Greatest common factor (GCF) of 25415 and 25435 is 5.

GCF(25415,25435) = 5

We will now calculate the prime factors of 25415 and 25435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25415 and 25435.

How to find the GCF of 25415 and 25435?

We will first find the prime factorization of 25415 and 25435. After we will calculate the factors of 25415 and 25435 and find the biggest common factor number .

Step-1: Prime Factorization of 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 5¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 25435

Prime factors of 25435 are 5, 5087. Prime factorization of 25435 in exponential form is:

25435 = 5¹ × 5087¹

Step-3: Factors of 25415

List of positive integer factors of 25415 that divides 25415 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Step-4: Factors of 25435

List of positive integer factors of 25435 that divides 25415 without a remainder.

1, 5, 5087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25415 and 25435. The biggest common factor number is the GCF number.
So the greatest common factor 25415 and 25435 is 5.

Also check out the Least Common Multiple of 25415 and 25435