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What is the Greatest Common Factor of 27102 and 27117?

Greatest common factor (GCF) of 27102 and 27117 is 3.

GCF(27102,27117) = 3

We will now calculate the prime factors of 27102 and 27117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27102 and 27117.

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How to find the GCF of 27102 and 27117?

We will first find the prime factorization of 27102 and 27117. After we will calculate the factors of 27102 and 27117 and find the biggest common factor number .

Step-1: Prime Factorization of 27102

Prime factors of 27102 are 2, 3, 4517. Prime factorization of 27102 in exponential form is:

27102 = 21 × 31 × 45171

Step-2: Prime Factorization of 27117

Prime factors of 27117 are 3, 23, 131. Prime factorization of 27117 in exponential form is:

27117 = 32 × 231 × 1311

Step-3: Factors of 27102

List of positive integer factors of 27102 that divides 27102 without a remainder.

1, 2, 3, 6, 4517, 9034, 13551

Step-4: Factors of 27117

List of positive integer factors of 27117 that divides 27102 without a remainder.

1, 3, 9, 23, 69, 131, 207, 393, 1179, 3013, 9039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27102 and 27117. The biggest common factor number is the GCF number.
So the greatest common factor 27102 and 27117 is 3.

Also check out the Least Common Multiple of 27102 and 27117