What is the Greatest Common Factor of 1960 and 1976?
Greatest common factor (GCF) of 1960 and 1976 is 8.
GCF(1960,1976) = 8
We will now calculate the prime factors of 1960 and 1976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1960 and 1976.
How to find the GCF of 1960 and 1976?
We will first find the prime factorization of 1960 and 1976. After we will calculate the factors of 1960 and 1976 and find the biggest common factor number .
Step-1: Prime Factorization of 1960
Prime factors of 1960 are 2, 5, 7. Prime factorization of 1960 in exponential form is:
1960 = 23 × 51 × 72
Step-2: Prime Factorization of 1976
Prime factors of 1976 are 2, 13, 19. Prime factorization of 1976 in exponential form is:
1976 = 23 × 131 × 191
Step-3: Factors of 1960
List of positive integer factors of 1960 that divides 1960 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980
Step-4: Factors of 1976
List of positive integer factors of 1976 that divides 1960 without a remainder.
1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1960 and 1976. The biggest common factor number is the GCF number.
So the greatest common factor 1960 and 1976 is 8.
Also check out the Least Common Multiple of 1960 and 1976
Related Greatest Common Factors of 1960
- GCF of 1960 and 1964
- GCF of 1960 and 1965
- GCF of 1960 and 1966
- GCF of 1960 and 1967
- GCF of 1960 and 1968
- GCF of 1960 and 1969
- GCF of 1960 and 1970
- GCF of 1960 and 1971
- GCF of 1960 and 1972
- GCF of 1960 and 1973
- GCF of 1960 and 1974
- GCF of 1960 and 1975
- GCF of 1960 and 1976
- GCF of 1960 and 1977
- GCF of 1960 and 1978
- GCF of 1960 and 1979
- GCF of 1960 and 1980
Related Greatest Common Factors of 1976
- GCF of 1976 and 1980
- GCF of 1976 and 1981
- GCF of 1976 and 1982
- GCF of 1976 and 1983
- GCF of 1976 and 1984
- GCF of 1976 and 1985
- GCF of 1976 and 1986
- GCF of 1976 and 1987
- GCF of 1976 and 1988
- GCF of 1976 and 1989
- GCF of 1976 and 1990
- GCF of 1976 and 1991
- GCF of 1976 and 1992
- GCF of 1976 and 1993
- GCF of 1976 and 1994
- GCF of 1976 and 1995
- GCF of 1976 and 1996