What is the Greatest Common Factor of 42964 and 42984?
Greatest common factor (GCF) of 42964 and 42984 is 4.
GCF(42964,42984) = 4
We will now calculate the prime factors of 42964 and 42984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42964 and 42984.
How to find the GCF of 42964 and 42984?
We will first find the prime factorization of 42964 and 42984. After we will calculate the factors of 42964 and 42984 and find the biggest common factor number .
Step-1: Prime Factorization of 42964
Prime factors of 42964 are 2, 23, 467. Prime factorization of 42964 in exponential form is:
42964 = 22 × 231 × 4671
Step-2: Prime Factorization of 42984
Prime factors of 42984 are 2, 3, 199. Prime factorization of 42984 in exponential form is:
42984 = 23 × 33 × 1991
Step-3: Factors of 42964
List of positive integer factors of 42964 that divides 42964 without a remainder.
1, 2, 4, 23, 46, 92, 467, 934, 1868, 10741, 21482
Step-4: Factors of 42984
List of positive integer factors of 42984 that divides 42964 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 199, 216, 398, 597, 796, 1194, 1592, 1791, 2388, 3582, 4776, 5373, 7164, 10746, 14328, 21492
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42964 and 42984. The biggest common factor number is the GCF number.
So the greatest common factor 42964 and 42984 is 4.
Also check out the Least Common Multiple of 42964 and 42984
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- GCF of 42964 and 42980
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- GCF of 42964 and 42984
Related Greatest Common Factors of 42984
- GCF of 42984 and 42988
- GCF of 42984 and 42989
- GCF of 42984 and 42990
- GCF of 42984 and 42991
- GCF of 42984 and 42992
- GCF of 42984 and 42993
- GCF of 42984 and 42994
- GCF of 42984 and 42995
- GCF of 42984 and 42996
- GCF of 42984 and 42997
- GCF of 42984 and 42998
- GCF of 42984 and 42999
- GCF of 42984 and 43000
- GCF of 42984 and 43001
- GCF of 42984 and 43002
- GCF of 42984 and 43003
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