What is the Greatest Common Factor of 29403 and 29409?
Greatest common factor (GCF) of 29403 and 29409 is 3.
GCF(29403,29409) = 3
We will now calculate the prime factors of 29403 and 29409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29403 and 29409.
How to find the GCF of 29403 and 29409?
We will first find the prime factorization of 29403 and 29409. After we will calculate the factors of 29403 and 29409 and find the biggest common factor number .
Step-1: Prime Factorization of 29403
Prime factors of 29403 are 3, 11. Prime factorization of 29403 in exponential form is:
29403 = 35 × 112
Step-2: Prime Factorization of 29409
Prime factors of 29409 are 3, 9803. Prime factorization of 29409 in exponential form is:
29409 = 31 × 98031
Step-3: Factors of 29403
List of positive integer factors of 29403 that divides 29403 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 121, 243, 297, 363, 891, 1089, 2673, 3267, 9801
Step-4: Factors of 29409
List of positive integer factors of 29409 that divides 29403 without a remainder.
1, 3, 9803
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29403 and 29409. The biggest common factor number is the GCF number.
So the greatest common factor 29403 and 29409 is 3.
Also check out the Least Common Multiple of 29403 and 29409
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