What is the Greatest Common Factor of 58737 and 58746?
Greatest common factor (GCF) of 58737 and 58746 is 3.
GCF(58737,58746) = 3
We will now calculate the prime factors of 58737 and 58746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58737 and 58746.
How to find the GCF of 58737 and 58746?
We will first find the prime factorization of 58737 and 58746. After we will calculate the factors of 58737 and 58746 and find the biggest common factor number .
Step-1: Prime Factorization of 58737
Prime factors of 58737 are 3, 7, 2797. Prime factorization of 58737 in exponential form is:
58737 = 31 × 71 × 27971
Step-2: Prime Factorization of 58746
Prime factors of 58746 are 2, 3, 9791. Prime factorization of 58746 in exponential form is:
58746 = 21 × 31 × 97911
Step-3: Factors of 58737
List of positive integer factors of 58737 that divides 58737 without a remainder.
1, 3, 7, 21, 2797, 8391, 19579
Step-4: Factors of 58746
List of positive integer factors of 58746 that divides 58737 without a remainder.
1, 2, 3, 6, 9791, 19582, 29373
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 58737 and 58746. The biggest common factor number is the GCF number.
So the greatest common factor 58737 and 58746 is 3.
Also check out the Least Common Multiple of 58737 and 58746
Related Greatest Common Factors of 58737
- GCF of 58737 and 58741
- GCF of 58737 and 58742
- GCF of 58737 and 58743
- GCF of 58737 and 58744
- GCF of 58737 and 58745
- GCF of 58737 and 58746
- GCF of 58737 and 58747
- GCF of 58737 and 58748
- GCF of 58737 and 58749
- GCF of 58737 and 58750
- GCF of 58737 and 58751
- GCF of 58737 and 58752
- GCF of 58737 and 58753
- GCF of 58737 and 58754
- GCF of 58737 and 58755
- GCF of 58737 and 58756
- GCF of 58737 and 58757
Related Greatest Common Factors of 58746
- GCF of 58746 and 58750
- GCF of 58746 and 58751
- GCF of 58746 and 58752
- GCF of 58746 and 58753
- GCF of 58746 and 58754
- GCF of 58746 and 58755
- GCF of 58746 and 58756
- GCF of 58746 and 58757
- GCF of 58746 and 58758
- GCF of 58746 and 58759
- GCF of 58746 and 58760
- GCF of 58746 and 58761
- GCF of 58746 and 58762
- GCF of 58746 and 58763
- GCF of 58746 and 58764
- GCF of 58746 and 58765
- GCF of 58746 and 58766