What is the Greatest Common Factor of 921 and 940?
Greatest common factor (GCF) of 921 and 940 is 1.
GCF(921,940) = 1
We will now calculate the prime factors of 921 and 940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 921 and 940.
How to find the GCF of 921 and 940?
We will first find the prime factorization of 921 and 940. After we will calculate the factors of 921 and 940 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 940
Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:
940 = 22 × 51 × 471
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 940
List of positive integer factors of 940 that divides 921 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 921 and 940. The biggest common factor number is the GCF number.
So the greatest common factor 921 and 940 is 1.
Also check out the Least Common Multiple of 921 and 940
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Related Greatest Common Factors of 940
- GCF of 940 and 944
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