What is the Greatest Common Factor of 77361 and 77373?
Greatest common factor (GCF) of 77361 and 77373 is 3.
GCF(77361,77373) = 3
We will now calculate the prime factors of 77361 and 77373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77361 and 77373.
How to find the GCF of 77361 and 77373?
We will first find the prime factorization of 77361 and 77373. After we will calculate the factors of 77361 and 77373 and find the biggest common factor number .
Step-1: Prime Factorization of 77361
Prime factors of 77361 are 3, 107, 241. Prime factorization of 77361 in exponential form is:
77361 = 31 × 1071 × 2411
Step-2: Prime Factorization of 77373
Prime factors of 77373 are 3, 8597. Prime factorization of 77373 in exponential form is:
77373 = 32 × 85971
Step-3: Factors of 77361
List of positive integer factors of 77361 that divides 77361 without a remainder.
1, 3, 107, 241, 321, 723, 25787
Step-4: Factors of 77373
List of positive integer factors of 77373 that divides 77361 without a remainder.
1, 3, 9, 8597, 25791
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77361 and 77373. The biggest common factor number is the GCF number.
So the greatest common factor 77361 and 77373 is 3.
Also check out the Least Common Multiple of 77361 and 77373
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