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What is the Greatest Common Factor of 3877 and 3894?

Greatest common factor (GCF) of 3877 and 3894 is 1.

GCF(3877,3894) = 1

We will now calculate the prime factors of 3877 and 3894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3877 and 3894.

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How to find the GCF of 3877 and 3894?

We will first find the prime factorization of 3877 and 3894. After we will calculate the factors of 3877 and 3894 and find the biggest common factor number .

Step-1: Prime Factorization of 3877

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 38771

Step-2: Prime Factorization of 3894

Prime factors of 3894 are 2, 3, 11, 59. Prime factorization of 3894 in exponential form is:

3894 = 21 × 31 × 111 × 591

Step-3: Factors of 3877

List of positive integer factors of 3877 that divides 3877 without a remainder.

1

Step-4: Factors of 3894

List of positive integer factors of 3894 that divides 3877 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3877 and 3894. The biggest common factor number is the GCF number.
So the greatest common factor 3877 and 3894 is 1.

Also check out the Least Common Multiple of 3877 and 3894