What is the Greatest Common Factor of 29969 and 29979?
Greatest common factor (GCF) of 29969 and 29979 is 1.
GCF(29969,29979) = 1
We will now calculate the prime factors of 29969 and 29979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29969 and 29979.
How to find the GCF of 29969 and 29979?
We will first find the prime factorization of 29969 and 29979. After we will calculate the factors of 29969 and 29979 and find the biggest common factor number .
Step-1: Prime Factorization of 29969
Prime factors of 29969 are 23, 1303. Prime factorization of 29969 in exponential form is:
29969 = 231 × 13031
Step-2: Prime Factorization of 29979
Prime factors of 29979 are 3, 3331. Prime factorization of 29979 in exponential form is:
29979 = 32 × 33311
Step-3: Factors of 29969
List of positive integer factors of 29969 that divides 29969 without a remainder.
1, 23, 1303
Step-4: Factors of 29979
List of positive integer factors of 29979 that divides 29969 without a remainder.
1, 3, 9, 3331, 9993
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29969 and 29979. The biggest common factor number is the GCF number.
So the greatest common factor 29969 and 29979 is 1.
Also check out the Least Common Multiple of 29969 and 29979
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