What is the Greatest Common Factor of 1968 and 1986?
Greatest common factor (GCF) of 1968 and 1986 is 6.
GCF(1968,1986) = 6
We will now calculate the prime factors of 1968 and 1986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1968 and 1986.
How to find the GCF of 1968 and 1986?
We will first find the prime factorization of 1968 and 1986. After we will calculate the factors of 1968 and 1986 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 1986
Prime factors of 1986 are 2, 3, 331. Prime factorization of 1986 in exponential form is:
1986 = 21 × 31 × 3311
Step-3: Factors of 1968
List of positive integer factors of 1968 that divides 1968 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984
Step-4: Factors of 1986
List of positive integer factors of 1986 that divides 1968 without a remainder.
1, 2, 3, 6, 331, 662, 993
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1968 and 1986. The biggest common factor number is the GCF number.
So the greatest common factor 1968 and 1986 is 6.
Also check out the Least Common Multiple of 1968 and 1986
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
Related Greatest Common Factors of 1986
- GCF of 1986 and 1990
- GCF of 1986 and 1991
- GCF of 1986 and 1992
- GCF of 1986 and 1993
- GCF of 1986 and 1994
- GCF of 1986 and 1995
- GCF of 1986 and 1996
- GCF of 1986 and 1997
- GCF of 1986 and 1998
- GCF of 1986 and 1999
- GCF of 1986 and 2000
- GCF of 1986 and 2001
- GCF of 1986 and 2002
- GCF of 1986 and 2003
- GCF of 1986 and 2004
- GCF of 1986 and 2005
- GCF of 1986 and 2006