What is the Greatest Common Factor of 894 and 914?
Greatest common factor (GCF) of 894 and 914 is 2.
GCF(894,914) = 2
We will now calculate the prime factors of 894 and 914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 894 and 914.
How to find the GCF of 894 and 914?
We will first find the prime factorization of 894 and 914. After we will calculate the factors of 894 and 914 and find the biggest common factor number .
Step-1: Prime Factorization of 894
Prime factors of 894 are 2, 3, 149. Prime factorization of 894 in exponential form is:
894 = 21 × 31 × 1491
Step-2: Prime Factorization of 914
Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:
914 = 21 × 4571
Step-3: Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447
Step-4: Factors of 914
List of positive integer factors of 914 that divides 894 without a remainder.
1, 2, 457
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 894 and 914. The biggest common factor number is the GCF number.
So the greatest common factor 894 and 914 is 2.
Also check out the Least Common Multiple of 894 and 914
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