What is the Greatest Common Factor of 1953 and 1968?
Greatest common factor (GCF) of 1953 and 1968 is 3.
GCF(1953,1968) = 3
We will now calculate the prime factors of 1953 and 1968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1953 and 1968.
How to find the GCF of 1953 and 1968?
We will first find the prime factorization of 1953 and 1968. After we will calculate the factors of 1953 and 1968 and find the biggest common factor number .
Step-1: Prime Factorization of 1953
Prime factors of 1953 are 3, 7, 31. Prime factorization of 1953 in exponential form is:
1953 = 32 × 71 × 311
Step-2: Prime Factorization of 1968
Prime factors of 1968 are 2, 3, 41. Prime factorization of 1968 in exponential form is:
1968 = 24 × 31 × 411
Step-3: Factors of 1953
List of positive integer factors of 1953 that divides 1953 without a remainder.
1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651
Step-4: Factors of 1968
List of positive integer factors of 1968 that divides 1953 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1953 and 1968. The biggest common factor number is the GCF number.
So the greatest common factor 1953 and 1968 is 3.
Also check out the Least Common Multiple of 1953 and 1968
Related Greatest Common Factors of 1953
- GCF of 1953 and 1957
- GCF of 1953 and 1958
- GCF of 1953 and 1959
- GCF of 1953 and 1960
- GCF of 1953 and 1961
- GCF of 1953 and 1962
- GCF of 1953 and 1963
- GCF of 1953 and 1964
- GCF of 1953 and 1965
- GCF of 1953 and 1966
- GCF of 1953 and 1967
- GCF of 1953 and 1968
- GCF of 1953 and 1969
- GCF of 1953 and 1970
- GCF of 1953 and 1971
- GCF of 1953 and 1972
- GCF of 1953 and 1973
Related Greatest Common Factors of 1968
- GCF of 1968 and 1972
- GCF of 1968 and 1973
- GCF of 1968 and 1974
- GCF of 1968 and 1975
- GCF of 1968 and 1976
- GCF of 1968 and 1977
- GCF of 1968 and 1978
- GCF of 1968 and 1979
- GCF of 1968 and 1980
- GCF of 1968 and 1981
- GCF of 1968 and 1982
- GCF of 1968 and 1983
- GCF of 1968 and 1984
- GCF of 1968 and 1985
- GCF of 1968 and 1986
- GCF of 1968 and 1987
- GCF of 1968 and 1988