What is the Greatest Common Factor of 55004 and 55010?
Greatest common factor (GCF) of 55004 and 55010 is 2.
GCF(55004,55010) = 2
We will now calculate the prime factors of 55004 and 55010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55004 and 55010.
How to find the GCF of 55004 and 55010?
We will first find the prime factorization of 55004 and 55010. After we will calculate the factors of 55004 and 55010 and find the biggest common factor number .
Step-1: Prime Factorization of 55004
Prime factors of 55004 are 2, 13751. Prime factorization of 55004 in exponential form is:
55004 = 22 × 137511
Step-2: Prime Factorization of 55010
Prime factors of 55010 are 2, 5, 5501. Prime factorization of 55010 in exponential form is:
55010 = 21 × 51 × 55011
Step-3: Factors of 55004
List of positive integer factors of 55004 that divides 55004 without a remainder.
1, 2, 4, 13751, 27502
Step-4: Factors of 55010
List of positive integer factors of 55010 that divides 55004 without a remainder.
1, 2, 5, 10, 5501, 11002, 27505
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55004 and 55010. The biggest common factor number is the GCF number.
So the greatest common factor 55004 and 55010 is 2.
Also check out the Least Common Multiple of 55004 and 55010
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