What is the Greatest Common Factor of 9850 and 9864?
Greatest common factor (GCF) of 9850 and 9864 is 2.
GCF(9850,9864) = 2
We will now calculate the prime factors of 9850 and 9864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9850 and 9864.
How to find the GCF of 9850 and 9864?
We will first find the prime factorization of 9850 and 9864. After we will calculate the factors of 9850 and 9864 and find the biggest common factor number .
Step-1: Prime Factorization of 9850
Prime factors of 9850 are 2, 5, 197. Prime factorization of 9850 in exponential form is:
9850 = 21 × 52 × 1971
Step-2: Prime Factorization of 9864
Prime factors of 9864 are 2, 3, 137. Prime factorization of 9864 in exponential form is:
9864 = 23 × 32 × 1371
Step-3: Factors of 9850
List of positive integer factors of 9850 that divides 9850 without a remainder.
1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925
Step-4: Factors of 9864
List of positive integer factors of 9864 that divides 9850 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9850 and 9864. The biggest common factor number is the GCF number.
So the greatest common factor 9850 and 9864 is 2.
Also check out the Least Common Multiple of 9850 and 9864
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- GCF of 9850 and 9864
- GCF of 9850 and 9865
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- GCF of 9850 and 9868
- GCF of 9850 and 9869
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Related Greatest Common Factors of 9864
- GCF of 9864 and 9868
- GCF of 9864 and 9869
- GCF of 9864 and 9870
- GCF of 9864 and 9871
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- GCF of 9864 and 9874
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- GCF of 9864 and 9877
- GCF of 9864 and 9878
- GCF of 9864 and 9879
- GCF of 9864 and 9880
- GCF of 9864 and 9881
- GCF of 9864 and 9882
- GCF of 9864 and 9883
- GCF of 9864 and 9884