What is the Greatest Common Factor of 921 and 939?
Greatest common factor (GCF) of 921 and 939 is 3.
GCF(921,939) = 3
We will now calculate the prime factors of 921 and 939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 921 and 939.
How to find the GCF of 921 and 939?
We will first find the prime factorization of 921 and 939. After we will calculate the factors of 921 and 939 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 939
Prime factors of 939 are 3, 313. Prime factorization of 939 in exponential form is:
939 = 31 × 3131
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 939
List of positive integer factors of 939 that divides 921 without a remainder.
1, 3, 313
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 921 and 939. The biggest common factor number is the GCF number.
So the greatest common factor 921 and 939 is 3.
Also check out the Least Common Multiple of 921 and 939
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