What is the Greatest Common Factor of 23874 and 23884?
Greatest common factor (GCF) of 23874 and 23884 is 2.
GCF(23874,23884) = 2
We will now calculate the prime factors of 23874 and 23884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23874 and 23884.
How to find the GCF of 23874 and 23884?
We will first find the prime factorization of 23874 and 23884. After we will calculate the factors of 23874 and 23884 and find the biggest common factor number .
Step-1: Prime Factorization of 23874
Prime factors of 23874 are 2, 3, 23, 173. Prime factorization of 23874 in exponential form is:
23874 = 21 × 31 × 231 × 1731
Step-2: Prime Factorization of 23884
Prime factors of 23884 are 2, 7, 853. Prime factorization of 23884 in exponential form is:
23884 = 22 × 71 × 8531
Step-3: Factors of 23874
List of positive integer factors of 23874 that divides 23874 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138, 173, 346, 519, 1038, 3979, 7958, 11937
Step-4: Factors of 23884
List of positive integer factors of 23884 that divides 23874 without a remainder.
1, 2, 4, 7, 14, 28, 853, 1706, 3412, 5971, 11942
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 23874 and 23884. The biggest common factor number is the GCF number.
So the greatest common factor 23874 and 23884 is 2.
Also check out the Least Common Multiple of 23874 and 23884
Related Greatest Common Factors of 23874
- GCF of 23874 and 23878
- GCF of 23874 and 23879
- GCF of 23874 and 23880
- GCF of 23874 and 23881
- GCF of 23874 and 23882
- GCF of 23874 and 23883
- GCF of 23874 and 23884
- GCF of 23874 and 23885
- GCF of 23874 and 23886
- GCF of 23874 and 23887
- GCF of 23874 and 23888
- GCF of 23874 and 23889
- GCF of 23874 and 23890
- GCF of 23874 and 23891
- GCF of 23874 and 23892
- GCF of 23874 and 23893
- GCF of 23874 and 23894
Related Greatest Common Factors of 23884
- GCF of 23884 and 23888
- GCF of 23884 and 23889
- GCF of 23884 and 23890
- GCF of 23884 and 23891
- GCF of 23884 and 23892
- GCF of 23884 and 23893
- GCF of 23884 and 23894
- GCF of 23884 and 23895
- GCF of 23884 and 23896
- GCF of 23884 and 23897
- GCF of 23884 and 23898
- GCF of 23884 and 23899
- GCF of 23884 and 23900
- GCF of 23884 and 23901
- GCF of 23884 and 23902
- GCF of 23884 and 23903
- GCF of 23884 and 23904