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What is the Greatest Common Factor of 1858 and 1864?

Greatest common factor (GCF) of 1858 and 1864 is 2.

GCF(1858,1864) = 2

We will now calculate the prime factors of 1858 and 1864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1858 and 1864.

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How to find the GCF of 1858 and 1864?

We will first find the prime factorization of 1858 and 1864. After we will calculate the factors of 1858 and 1864 and find the biggest common factor number .

Step-1: Prime Factorization of 1858

Prime factors of 1858 are 2, 929. Prime factorization of 1858 in exponential form is:

1858 = 21 × 9291

Step-2: Prime Factorization of 1864

Prime factors of 1864 are 2, 233. Prime factorization of 1864 in exponential form is:

1864 = 23 × 2331

Step-3: Factors of 1858

List of positive integer factors of 1858 that divides 1858 without a remainder.

1, 2, 929

Step-4: Factors of 1864

List of positive integer factors of 1864 that divides 1858 without a remainder.

1, 2, 4, 8, 233, 466, 932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1858 and 1864. The biggest common factor number is the GCF number.
So the greatest common factor 1858 and 1864 is 2.

Also check out the Least Common Multiple of 1858 and 1864