What is the Greatest Common Factor of 29980 and 29993?
Greatest common factor (GCF) of 29980 and 29993 is 1.
GCF(29980,29993) = 1
We will now calculate the prime factors of 29980 and 29993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29980 and 29993.
How to find the GCF of 29980 and 29993?
We will first find the prime factorization of 29980 and 29993. After we will calculate the factors of 29980 and 29993 and find the biggest common factor number .
Step-1: Prime Factorization of 29980
Prime factors of 29980 are 2, 5, 1499. Prime factorization of 29980 in exponential form is:
29980 = 22 × 51 × 14991
Step-2: Prime Factorization of 29993
Prime factors of 29993 are 89, 337. Prime factorization of 29993 in exponential form is:
29993 = 891 × 3371
Step-3: Factors of 29980
List of positive integer factors of 29980 that divides 29980 without a remainder.
1, 2, 4, 5, 10, 20, 1499, 2998, 5996, 7495, 14990
Step-4: Factors of 29993
List of positive integer factors of 29993 that divides 29980 without a remainder.
1, 89, 337
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29980 and 29993. The biggest common factor number is the GCF number.
So the greatest common factor 29980 and 29993 is 1.
Also check out the Least Common Multiple of 29980 and 29993
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