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What is the Greatest Common Factor of 435 and 443?

Greatest common factor (GCF) of 435 and 443 is 1.

GCF(435,443) = 1

We will now calculate the prime factors of 435 and 443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 435 and 443.

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How to find the GCF of 435 and 443?

We will first find the prime factorization of 435 and 443. After we will calculate the factors of 435 and 443 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 443

Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:

443 = 4431

Step-3: Factors of 435

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

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

Step-4: Factors of 443

List of positive integer factors of 443 that divides 435 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 435 and 443. The biggest common factor number is the GCF number.
So the greatest common factor 435 and 443 is 1.

Also check out the Least Common Multiple of 435 and 443