What is the Greatest Common Factor of 922 and 940?
Greatest common factor (GCF) of 922 and 940 is 2.
GCF(922,940) = 2
We will now calculate the prime factors of 922 and 940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 922 and 940.
How to find the GCF of 922 and 940?
We will first find the prime factorization of 922 and 940. After we will calculate the factors of 922 and 940 and find the biggest common factor number .
Step-1: Prime Factorization of 922
Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:
922 = 21 × 4611
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 922
List of positive integer factors of 922 that divides 922 without a remainder.
1, 2, 461
Step-4: Factors of 940
List of positive integer factors of 940 that divides 922 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 922 and 940. The biggest common factor number is the GCF number.
So the greatest common factor 922 and 940 is 2.
Also check out the Least Common Multiple of 922 and 940
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Related Greatest Common Factors of 940
- GCF of 940 and 944
- GCF of 940 and 945
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- GCF of 940 and 947
- GCF of 940 and 948
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