What is the Greatest Common Factor of 15618 and 15627?
Greatest common factor (GCF) of 15618 and 15627 is 3.
GCF(15618,15627) = 3
We will now calculate the prime factors of 15618 and 15627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15618 and 15627.
How to find the GCF of 15618 and 15627?
We will first find the prime factorization of 15618 and 15627. After we will calculate the factors of 15618 and 15627 and find the biggest common factor number .
Step-1: Prime Factorization of 15618
Prime factors of 15618 are 2, 3, 19, 137. Prime factorization of 15618 in exponential form is:
15618 = 21 × 31 × 191 × 1371
Step-2: Prime Factorization of 15627
Prime factors of 15627 are 3, 5209. Prime factorization of 15627 in exponential form is:
15627 = 31 × 52091
Step-3: Factors of 15618
List of positive integer factors of 15618 that divides 15618 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 137, 274, 411, 822, 2603, 5206, 7809
Step-4: Factors of 15627
List of positive integer factors of 15627 that divides 15618 without a remainder.
1, 3, 5209
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15618 and 15627. The biggest common factor number is the GCF number.
So the greatest common factor 15618 and 15627 is 3.
Also check out the Least Common Multiple of 15618 and 15627
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Related Greatest Common Factors of 15627
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