What is the Greatest Common Factor of 9773 and 9779?
Greatest common factor (GCF) of 9773 and 9779 is 1.
GCF(9773,9779) = 1
We will now calculate the prime factors of 9773 and 9779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9773 and 9779.
How to find the GCF of 9773 and 9779?
We will first find the prime factorization of 9773 and 9779. After we will calculate the factors of 9773 and 9779 and find the biggest common factor number .
Step-1: Prime Factorization of 9773
Prime factors of 9773 are 29, 337. Prime factorization of 9773 in exponential form is:
9773 = 291 × 3371
Step-2: Prime Factorization of 9779
Prime factors of 9779 are 7, 11, 127. Prime factorization of 9779 in exponential form is:
9779 = 71 × 111 × 1271
Step-3: Factors of 9773
List of positive integer factors of 9773 that divides 9773 without a remainder.
1, 29, 337
Step-4: Factors of 9779
List of positive integer factors of 9779 that divides 9773 without a remainder.
1, 7, 11, 77, 127, 889, 1397
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9773 and 9779. The biggest common factor number is the GCF number.
So the greatest common factor 9773 and 9779 is 1.
Also check out the Least Common Multiple of 9773 and 9779
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