What is the Greatest Common Factor of 31984 and 32000?
Greatest common factor (GCF) of 31984 and 32000 is 16.
GCF(31984,32000) = 16
We will now calculate the prime factors of 31984 and 32000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31984 and 32000.
How to find the GCF of 31984 and 32000?
We will first find the prime factorization of 31984 and 32000. After we will calculate the factors of 31984 and 32000 and find the biggest common factor number .
Step-1: Prime Factorization of 31984
Prime factors of 31984 are 2, 1999. Prime factorization of 31984 in exponential form is:
31984 = 24 × 19991
Step-2: Prime Factorization of 32000
Prime factors of 32000 are 2, 5. Prime factorization of 32000 in exponential form is:
32000 = 28 × 53
Step-3: Factors of 31984
List of positive integer factors of 31984 that divides 31984 without a remainder.
1, 2, 4, 8, 16, 1999, 3998, 7996, 15992
Step-4: Factors of 32000
List of positive integer factors of 32000 that divides 31984 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 640, 800, 1000, 1280, 1600, 2000, 3200, 4000, 6400, 8000, 16000
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31984 and 32000. The biggest common factor number is the GCF number.
So the greatest common factor 31984 and 32000 is 16.
Also check out the Least Common Multiple of 31984 and 32000
Related Greatest Common Factors of 31984
- GCF of 31984 and 31988
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- GCF of 31984 and 31992
- GCF of 31984 and 31993
- GCF of 31984 and 31994
- GCF of 31984 and 31995
- GCF of 31984 and 31996
- GCF of 31984 and 31997
- GCF of 31984 and 31998
- GCF of 31984 and 31999
- GCF of 31984 and 32000
- GCF of 31984 and 32001
- GCF of 31984 and 32002
- GCF of 31984 and 32003
- GCF of 31984 and 32004
Related Greatest Common Factors of 32000
- GCF of 32000 and 32004
- GCF of 32000 and 32005
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- GCF of 32000 and 32007
- GCF of 32000 and 32008
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- GCF of 32000 and 32010
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- GCF of 32000 and 32012
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- GCF of 32000 and 32014
- GCF of 32000 and 32015
- GCF of 32000 and 32016
- GCF of 32000 and 32017
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