What is the Greatest Common Factor of 921 and 930?
Greatest common factor (GCF) of 921 and 930 is 3.
GCF(921,930) = 3
We will now calculate the prime factors of 921 and 930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 921 and 930.
How to find the GCF of 921 and 930?
We will first find the prime factorization of 921 and 930. After we will calculate the factors of 921 and 930 and find the biggest common factor number .
Step-1: Prime Factorization of 921
Prime factors of 921 are 3, 307. Prime factorization of 921 in exponential form is:
921 = 31 × 3071
Step-2: Prime Factorization of 930
Prime factors of 930 are 2, 3, 5, 31. Prime factorization of 930 in exponential form is:
930 = 21 × 31 × 51 × 311
Step-3: Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1, 3, 307
Step-4: Factors of 930
List of positive integer factors of 930 that divides 921 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 921 and 930. The biggest common factor number is the GCF number.
So the greatest common factor 921 and 930 is 3.
Also check out the Least Common Multiple of 921 and 930
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