What is the Greatest Common Factor of 730 and 749?
Greatest common factor (GCF) of 730 and 749 is 1.
GCF(730,749) = 1
We will now calculate the prime factors of 730 and 749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 730 and 749.
How to find the GCF of 730 and 749?
We will first find the prime factorization of 730 and 749. After we will calculate the factors of 730 and 749 and find the biggest common factor number .
Step-1: Prime Factorization of 730
Prime factors of 730 are 2, 5, 73. Prime factorization of 730 in exponential form is:
730 = 21 × 51 × 731
Step-2: Prime Factorization of 749
Prime factors of 749 are 7, 107. Prime factorization of 749 in exponential form is:
749 = 71 × 1071
Step-3: Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365
Step-4: Factors of 749
List of positive integer factors of 749 that divides 730 without a remainder.
1, 7, 107
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 730 and 749. The biggest common factor number is the GCF number.
So the greatest common factor 730 and 749 is 1.
Also check out the Least Common Multiple of 730 and 749
Related Greatest Common Factors of 730
- GCF of 730 and 734
- GCF of 730 and 735
- GCF of 730 and 736
- GCF of 730 and 737
- GCF of 730 and 738
- GCF of 730 and 739
- GCF of 730 and 740
- GCF of 730 and 741
- GCF of 730 and 742
- GCF of 730 and 743
- GCF of 730 and 744
- GCF of 730 and 745
- GCF of 730 and 746
- GCF of 730 and 747
- GCF of 730 and 748
- GCF of 730 and 749
- GCF of 730 and 750
Related Greatest Common Factors of 749
- GCF of 749 and 753
- GCF of 749 and 754
- GCF of 749 and 755
- GCF of 749 and 756
- GCF of 749 and 757
- GCF of 749 and 758
- GCF of 749 and 759
- GCF of 749 and 760
- GCF of 749 and 761
- GCF of 749 and 762
- GCF of 749 and 763
- GCF of 749 and 764
- GCF of 749 and 765
- GCF of 749 and 766
- GCF of 749 and 767
- GCF of 749 and 768
- GCF of 749 and 769