What is the Greatest Common Factor of 914 and 932?
Greatest common factor (GCF) of 914 and 932 is 2.
GCF(914,932) = 2
We will now calculate the prime factors of 914 and 932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 914 and 932.
How to find the GCF of 914 and 932?
We will first find the prime factorization of 914 and 932. After we will calculate the factors of 914 and 932 and find the biggest common factor number .
Step-1: Prime Factorization of 914
Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:
914 = 21 × 4571
Step-2: Prime Factorization of 932
Prime factors of 932 are 2, 233. Prime factorization of 932 in exponential form is:
932 = 22 × 2331
Step-3: Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1, 2, 457
Step-4: Factors of 932
List of positive integer factors of 932 that divides 914 without a remainder.
1, 2, 4, 233, 466
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 914 and 932. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 932 is 2.
Also check out the Least Common Multiple of 914 and 932
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