What is the Greatest Common Factor of 945 and 955?
Greatest common factor (GCF) of 945 and 955 is 5.
GCF(945,955) = 5
We will now calculate the prime factors of 945 and 955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 945 and 955.
How to find the GCF of 945 and 955?
We will first find the prime factorization of 945 and 955. After we will calculate the factors of 945 and 955 and find the biggest common factor number .
Step-1: Prime Factorization of 945
Prime factors of 945 are 3, 5, 7. Prime factorization of 945 in exponential form is:
945 = 33 × 51 × 71
Step-2: Prime Factorization of 955
Prime factors of 955 are 5, 191. Prime factorization of 955 in exponential form is:
955 = 51 × 1911
Step-3: Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315
Step-4: Factors of 955
List of positive integer factors of 955 that divides 945 without a remainder.
1, 5, 191
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 945 and 955. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 955 is 5.
Also check out the Least Common Multiple of 945 and 955
Related Greatest Common Factors of 945
- GCF of 945 and 949
- GCF of 945 and 950
- GCF of 945 and 951
- GCF of 945 and 952
- GCF of 945 and 953
- GCF of 945 and 954
- GCF of 945 and 955
- GCF of 945 and 956
- GCF of 945 and 957
- GCF of 945 and 958
- GCF of 945 and 959
- GCF of 945 and 960
- GCF of 945 and 961
- GCF of 945 and 962
- GCF of 945 and 963
- GCF of 945 and 964
- GCF of 945 and 965
Related Greatest Common Factors of 955
- GCF of 955 and 959
- GCF of 955 and 960
- GCF of 955 and 961
- GCF of 955 and 962
- GCF of 955 and 963
- GCF of 955 and 964
- GCF of 955 and 965
- GCF of 955 and 966
- GCF of 955 and 967
- GCF of 955 and 968
- GCF of 955 and 969
- GCF of 955 and 970
- GCF of 955 and 971
- GCF of 955 and 972
- GCF of 955 and 973
- GCF of 955 and 974
- GCF of 955 and 975