What is the Greatest Common Factor of 417 and 435?

Greatest common factor (GCF) of 417 and 435 is 3.

GCF(417,435) = 3

We will now calculate the prime factors of 417 and 435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 417 and 435.

How to find the GCF of 417 and 435?

We will first find the prime factorization of 417 and 435. After we will calculate the factors of 417 and 435 and find the biggest common factor number .

Step-1: Prime Factorization of 417

Prime factors of 417 are 3, 139. Prime factorization of 417 in exponential form is:

417 = 3¹ × 139¹

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 417

List of positive integer factors of 417 that divides 417 without a remainder.

1, 3, 139

Step-4: Factors of 435

List of positive integer factors of 435 that divides 417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 417 and 435. The biggest common factor number is the GCF number.
So the greatest common factor 417 and 435 is 3.

Also check out the Least Common Multiple of 417 and 435