What is the Greatest Common Factor of 5415 and 5435?

Greatest common factor (GCF) of 5415 and 5435 is 5.

GCF(5415,5435) = 5

We will now calculate the prime factors of 5415 and 5435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5415 and 5435.

How to find the GCF of 5415 and 5435?

We will first find the prime factorization of 5415 and 5435. After we will calculate the factors of 5415 and 5435 and find the biggest common factor number .

Step-1: Prime Factorization of 5415

Prime factors of 5415 are 3, 5, 19. Prime factorization of 5415 in exponential form is:

5415 = 3¹ × 5¹ × 19²

Step-2: Prime Factorization of 5435

Prime factors of 5435 are 5, 1087. Prime factorization of 5435 in exponential form is:

5435 = 5¹ × 1087¹

Step-3: Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805

Step-4: Factors of 5435

List of positive integer factors of 5435 that divides 5415 without a remainder.

1, 5, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5415 and 5435. The biggest common factor number is the GCF number.
So the greatest common factor 5415 and 5435 is 5.

Also check out the Least Common Multiple of 5415 and 5435