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What is the Greatest Common Factor of 359 and 367?

Greatest common factor (GCF) of 359 and 367 is 1.

GCF(359,367) = 1

We will now calculate the prime factors of 359 and 367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 359 and 367.

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How to find the GCF of 359 and 367?

We will first find the prime factorization of 359 and 367. After we will calculate the factors of 359 and 367 and find the biggest common factor number .

Step-1: Prime Factorization of 359

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

Step-2: Prime Factorization of 367

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

Step-3: Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1

Step-4: Factors of 367

List of positive integer factors of 367 that divides 359 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 359 and 367. The biggest common factor number is the GCF number.
So the greatest common factor 359 and 367 is 1.

Also check out the Least Common Multiple of 359 and 367