What is the Greatest Common Factor of 861 and 875?
Greatest common factor (GCF) of 861 and 875 is 7.
GCF(861,875) = 7
We will now calculate the prime factors of 861 and 875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 861 and 875.
How to find the GCF of 861 and 875?
We will first find the prime factorization of 861 and 875. After we will calculate the factors of 861 and 875 and find the biggest common factor number .
Step-1: Prime Factorization of 861
Prime factors of 861 are 3, 7, 41. Prime factorization of 861 in exponential form is:
861 = 31 × 71 × 411
Step-2: Prime Factorization of 875
Prime factors of 875 are 5, 7. Prime factorization of 875 in exponential form is:
875 = 53 × 71
Step-3: Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287
Step-4: Factors of 875
List of positive integer factors of 875 that divides 861 without a remainder.
1, 5, 7, 25, 35, 125, 175
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 861 and 875. The biggest common factor number is the GCF number.
So the greatest common factor 861 and 875 is 7.
Also check out the Least Common Multiple of 861 and 875
Related Greatest Common Factors of 861
- GCF of 861 and 865
- GCF of 861 and 866
- GCF of 861 and 867
- GCF of 861 and 868
- GCF of 861 and 869
- GCF of 861 and 870
- GCF of 861 and 871
- GCF of 861 and 872
- GCF of 861 and 873
- GCF of 861 and 874
- GCF of 861 and 875
- GCF of 861 and 876
- GCF of 861 and 877
- GCF of 861 and 878
- GCF of 861 and 879
- GCF of 861 and 880
- GCF of 861 and 881
Related Greatest Common Factors of 875
- GCF of 875 and 879
- GCF of 875 and 880
- GCF of 875 and 881
- GCF of 875 and 882
- GCF of 875 and 883
- GCF of 875 and 884
- GCF of 875 and 885
- GCF of 875 and 886
- GCF of 875 and 887
- GCF of 875 and 888
- GCF of 875 and 889
- GCF of 875 and 890
- GCF of 875 and 891
- GCF of 875 and 892
- GCF of 875 and 893
- GCF of 875 and 894
- GCF of 875 and 895