What is the Greatest Common Factor of 415 and 435?

Greatest common factor (GCF) of 415 and 435 is 5.

GCF(415,435) = 5

We will now calculate the prime factors of 415 and 435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 415 and 435.

How to find the GCF of 415 and 435?

We will first find the prime factorization of 415 and 435. After we will calculate the factors of 415 and 435 and find the biggest common factor number .

Step-1: Prime Factorization of 415

Prime factors of 415 are 5, 83. Prime factorization of 415 in exponential form is:

415 = 5¹ × 83¹

Step-2: Prime Factorization of 435

Prime factors of 435 are 3, 5, 29. Prime factorization of 435 in exponential form is:

435 = 3¹ × 5¹ × 29¹

Step-3: Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1, 5, 83

Step-4: Factors of 435

List of positive integer factors of 435 that divides 415 without a remainder.

1, 3, 5, 15, 29, 87, 145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 415 and 435. The biggest common factor number is the GCF number.
So the greatest common factor 415 and 435 is 5.

Also check out the Least Common Multiple of 415 and 435