What is the Greatest Common Factor of 55053 and 55065?
Greatest common factor (GCF) of 55053 and 55065 is 3.
GCF(55053,55065) = 3
We will now calculate the prime factors of 55053 and 55065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55053 and 55065.
How to find the GCF of 55053 and 55065?
We will first find the prime factorization of 55053 and 55065. After we will calculate the factors of 55053 and 55065 and find the biggest common factor number .
Step-1: Prime Factorization of 55053
Prime factors of 55053 are 3, 2039. Prime factorization of 55053 in exponential form is:
55053 = 33 × 20391
Step-2: Prime Factorization of 55065
Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:
55065 = 31 × 51 × 36711
Step-3: Factors of 55053
List of positive integer factors of 55053 that divides 55053 without a remainder.
1, 3, 9, 27, 2039, 6117, 18351
Step-4: Factors of 55065
List of positive integer factors of 55065 that divides 55053 without a remainder.
1, 3, 5, 15, 3671, 11013, 18355
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55053 and 55065. The biggest common factor number is the GCF number.
So the greatest common factor 55053 and 55065 is 3.
Also check out the Least Common Multiple of 55053 and 55065
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