What is the Greatest Common Factor of 8730 and 8735?
Greatest common factor (GCF) of 8730 and 8735 is 5.
GCF(8730,8735) = 5
We will now calculate the prime factors of 8730 and 8735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8730 and 8735.
How to find the GCF of 8730 and 8735?
We will first find the prime factorization of 8730 and 8735. After we will calculate the factors of 8730 and 8735 and find the biggest common factor number .
Step-1: Prime Factorization of 8730
Prime factors of 8730 are 2, 3, 5, 97. Prime factorization of 8730 in exponential form is:
8730 = 21 × 32 × 51 × 971
Step-2: Prime Factorization of 8735
Prime factors of 8735 are 5, 1747. Prime factorization of 8735 in exponential form is:
8735 = 51 × 17471
Step-3: Factors of 8730
List of positive integer factors of 8730 that divides 8730 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365
Step-4: Factors of 8735
List of positive integer factors of 8735 that divides 8730 without a remainder.
1, 5, 1747
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8730 and 8735. The biggest common factor number is the GCF number.
So the greatest common factor 8730 and 8735 is 5.
Also check out the Least Common Multiple of 8730 and 8735
Related Greatest Common Factors of 8730
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- GCF of 8730 and 8742
- GCF of 8730 and 8743
- GCF of 8730 and 8744
- GCF of 8730 and 8745
- GCF of 8730 and 8746
- GCF of 8730 and 8747
- GCF of 8730 and 8748
- GCF of 8730 and 8749
- GCF of 8730 and 8750
Related Greatest Common Factors of 8735
- GCF of 8735 and 8739
- GCF of 8735 and 8740
- GCF of 8735 and 8741
- GCF of 8735 and 8742
- GCF of 8735 and 8743
- GCF of 8735 and 8744
- GCF of 8735 and 8745
- GCF of 8735 and 8746
- GCF of 8735 and 8747
- GCF of 8735 and 8748
- GCF of 8735 and 8749
- GCF of 8735 and 8750
- GCF of 8735 and 8751
- GCF of 8735 and 8752
- GCF of 8735 and 8753
- GCF of 8735 and 8754
- GCF of 8735 and 8755