What is the Greatest Common Factor of 47002 and 47009?
Greatest common factor (GCF) of 47002 and 47009 is 1.
GCF(47002,47009) = 1
We will now calculate the prime factors of 47002 and 47009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47002 and 47009.
How to find the GCF of 47002 and 47009?
We will first find the prime factorization of 47002 and 47009. After we will calculate the factors of 47002 and 47009 and find the biggest common factor number .
Step-1: Prime Factorization of 47002
Prime factors of 47002 are 2, 71, 331. Prime factorization of 47002 in exponential form is:
47002 = 21 × 711 × 3311
Step-2: Prime Factorization of 47009
Prime factors of 47009 are 29, 1621. Prime factorization of 47009 in exponential form is:
47009 = 291 × 16211
Step-3: Factors of 47002
List of positive integer factors of 47002 that divides 47002 without a remainder.
1, 2, 71, 142, 331, 662, 23501
Step-4: Factors of 47009
List of positive integer factors of 47009 that divides 47002 without a remainder.
1, 29, 1621
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47002 and 47009. The biggest common factor number is the GCF number.
So the greatest common factor 47002 and 47009 is 1.
Also check out the Least Common Multiple of 47002 and 47009
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