What is the Greatest Common Factor of 52180 and 52194?
Greatest common factor (GCF) of 52180 and 52194 is 2.
GCF(52180,52194) = 2
We will now calculate the prime factors of 52180 and 52194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52180 and 52194.
How to find the GCF of 52180 and 52194?
We will first find the prime factorization of 52180 and 52194. After we will calculate the factors of 52180 and 52194 and find the biggest common factor number .
Step-1: Prime Factorization of 52180
Prime factors of 52180 are 2, 5, 2609. Prime factorization of 52180 in exponential form is:
52180 = 22 × 51 × 26091
Step-2: Prime Factorization of 52194
Prime factors of 52194 are 2, 3, 8699. Prime factorization of 52194 in exponential form is:
52194 = 21 × 31 × 86991
Step-3: Factors of 52180
List of positive integer factors of 52180 that divides 52180 without a remainder.
1, 2, 4, 5, 10, 20, 2609, 5218, 10436, 13045, 26090
Step-4: Factors of 52194
List of positive integer factors of 52194 that divides 52180 without a remainder.
1, 2, 3, 6, 8699, 17398, 26097
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52180 and 52194. The biggest common factor number is the GCF number.
So the greatest common factor 52180 and 52194 is 2.
Also check out the Least Common Multiple of 52180 and 52194
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