What is the Greatest Common Factor of 54954 and 54972?
Greatest common factor (GCF) of 54954 and 54972 is 18.
GCF(54954,54972) = 18
We will now calculate the prime factors of 54954 and 54972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54954 and 54972.
How to find the GCF of 54954 and 54972?
We will first find the prime factorization of 54954 and 54972. After we will calculate the factors of 54954 and 54972 and find the biggest common factor number .
Step-1: Prime Factorization of 54954
Prime factors of 54954 are 2, 3, 43, 71. Prime factorization of 54954 in exponential form is:
54954 = 21 × 32 × 431 × 711
Step-2: Prime Factorization of 54972
Prime factors of 54972 are 2, 3, 509. Prime factorization of 54972 in exponential form is:
54972 = 22 × 33 × 5091
Step-3: Factors of 54954
List of positive integer factors of 54954 that divides 54954 without a remainder.
1, 2, 3, 6, 9, 18, 43, 71, 86, 129, 142, 213, 258, 387, 426, 639, 774, 1278, 3053, 6106, 9159, 18318, 27477
Step-4: Factors of 54972
List of positive integer factors of 54972 that divides 54954 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162, 13743, 18324, 27486
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54954 and 54972. The biggest common factor number is the GCF number.
So the greatest common factor 54954 and 54972 is 18.
Also check out the Least Common Multiple of 54954 and 54972
Related Greatest Common Factors of 54954
- GCF of 54954 and 54958
- GCF of 54954 and 54959
- GCF of 54954 and 54960
- GCF of 54954 and 54961
- GCF of 54954 and 54962
- GCF of 54954 and 54963
- GCF of 54954 and 54964
- GCF of 54954 and 54965
- GCF of 54954 and 54966
- GCF of 54954 and 54967
- GCF of 54954 and 54968
- GCF of 54954 and 54969
- GCF of 54954 and 54970
- GCF of 54954 and 54971
- GCF of 54954 and 54972
- GCF of 54954 and 54973
- GCF of 54954 and 54974
Related Greatest Common Factors of 54972
- GCF of 54972 and 54976
- GCF of 54972 and 54977
- GCF of 54972 and 54978
- GCF of 54972 and 54979
- GCF of 54972 and 54980
- GCF of 54972 and 54981
- GCF of 54972 and 54982
- GCF of 54972 and 54983
- GCF of 54972 and 54984
- GCF of 54972 and 54985
- GCF of 54972 and 54986
- GCF of 54972 and 54987
- GCF of 54972 and 54988
- GCF of 54972 and 54989
- GCF of 54972 and 54990
- GCF of 54972 and 54991
- GCF of 54972 and 54992