What is the Greatest Common Factor of 8894 and 8905?
Greatest common factor (GCF) of 8894 and 8905 is 1.
GCF(8894,8905) = 1
We will now calculate the prime factors of 8894 and 8905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8894 and 8905.
How to find the GCF of 8894 and 8905?
We will first find the prime factorization of 8894 and 8905. After we will calculate the factors of 8894 and 8905 and find the biggest common factor number .
Step-1: Prime Factorization of 8894
Prime factors of 8894 are 2, 4447. Prime factorization of 8894 in exponential form is:
8894 = 21 × 44471
Step-2: Prime Factorization of 8905
Prime factors of 8905 are 5, 13, 137. Prime factorization of 8905 in exponential form is:
8905 = 51 × 131 × 1371
Step-3: Factors of 8894
List of positive integer factors of 8894 that divides 8894 without a remainder.
1, 2, 4447
Step-4: Factors of 8905
List of positive integer factors of 8905 that divides 8894 without a remainder.
1, 5, 13, 65, 137, 685, 1781
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8894 and 8905. The biggest common factor number is the GCF number.
So the greatest common factor 8894 and 8905 is 1.
Also check out the Least Common Multiple of 8894 and 8905
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