What is the Greatest Common Factor of 940 and 949?
Greatest common factor (GCF) of 940 and 949 is 1.
GCF(940,949) = 1
We will now calculate the prime factors of 940 and 949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 940 and 949.
How to find the GCF of 940 and 949?
We will first find the prime factorization of 940 and 949. After we will calculate the factors of 940 and 949 and find the biggest common factor number .
Step-1: Prime Factorization of 940
Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:
940 = 22 × 51 × 471
Step-2: Prime Factorization of 949
Prime factors of 949 are 13, 73. Prime factorization of 949 in exponential form is:
949 = 131 × 731
Step-3: Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470
Step-4: Factors of 949
List of positive integer factors of 949 that divides 940 without a remainder.
1, 13, 73
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 940 and 949. The biggest common factor number is the GCF number.
So the greatest common factor 940 and 949 is 1.
Also check out the Least Common Multiple of 940 and 949
Related Greatest Common Factors of 940
- GCF of 940 and 944
- GCF of 940 and 945
- GCF of 940 and 946
- GCF of 940 and 947
- GCF of 940 and 948
- GCF of 940 and 949
- GCF of 940 and 950
- GCF of 940 and 951
- GCF of 940 and 952
- GCF of 940 and 953
- GCF of 940 and 954
- GCF of 940 and 955
- GCF of 940 and 956
- GCF of 940 and 957
- GCF of 940 and 958
- GCF of 940 and 959
- GCF of 940 and 960
Related Greatest Common Factors of 949
- GCF of 949 and 953
- GCF of 949 and 954
- GCF of 949 and 955
- GCF of 949 and 956
- GCF of 949 and 957
- GCF of 949 and 958
- GCF of 949 and 959
- GCF of 949 and 960
- GCF of 949 and 961
- GCF of 949 and 962
- GCF of 949 and 963
- GCF of 949 and 964
- GCF of 949 and 965
- GCF of 949 and 966
- GCF of 949 and 967
- GCF of 949 and 968
- GCF of 949 and 969