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What is the Greatest Common Factor of 46891 and 46902?

Greatest common factor (GCF) of 46891 and 46902 is 1.

GCF(46891,46902) = 1

We will now calculate the prime factors of 46891 and 46902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46891 and 46902.

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How to find the GCF of 46891 and 46902?

We will first find the prime factorization of 46891 and 46902. After we will calculate the factors of 46891 and 46902 and find the biggest common factor number .

Step-1: Prime Factorization of 46891

Prime factors of 46891 are 13, 3607. Prime factorization of 46891 in exponential form is:

46891 = 131 × 36071

Step-2: Prime Factorization of 46902

Prime factors of 46902 are 2, 3, 7817. Prime factorization of 46902 in exponential form is:

46902 = 21 × 31 × 78171

Step-3: Factors of 46891

List of positive integer factors of 46891 that divides 46891 without a remainder.

1, 13, 3607

Step-4: Factors of 46902

List of positive integer factors of 46902 that divides 46891 without a remainder.

1, 2, 3, 6, 7817, 15634, 23451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46891 and 46902. The biggest common factor number is the GCF number.
So the greatest common factor 46891 and 46902 is 1.

Also check out the Least Common Multiple of 46891 and 46902