What is the Greatest Common Factor of 738 and 746?
Greatest common factor (GCF) of 738 and 746 is 2.
GCF(738,746) = 2
We will now calculate the prime factors of 738 and 746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 738 and 746.
How to find the GCF of 738 and 746?
We will first find the prime factorization of 738 and 746. After we will calculate the factors of 738 and 746 and find the biggest common factor number .
Step-1: Prime Factorization of 738
Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:
738 = 21 × 32 × 411
Step-2: Prime Factorization of 746
Prime factors of 746 are 2, 373. Prime factorization of 746 in exponential form is:
746 = 21 × 3731
Step-3: Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369
Step-4: Factors of 746
List of positive integer factors of 746 that divides 738 without a remainder.
1, 2, 373
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 738 and 746. The biggest common factor number is the GCF number.
So the greatest common factor 738 and 746 is 2.
Also check out the Least Common Multiple of 738 and 746
Related Greatest Common Factors of 738
- GCF of 738 and 742
- GCF of 738 and 743
- GCF of 738 and 744
- GCF of 738 and 745
- GCF of 738 and 746
- GCF of 738 and 747
- GCF of 738 and 748
- GCF of 738 and 749
- GCF of 738 and 750
- GCF of 738 and 751
- GCF of 738 and 752
- GCF of 738 and 753
- GCF of 738 and 754
- GCF of 738 and 755
- GCF of 738 and 756
- GCF of 738 and 757
- GCF of 738 and 758
Related Greatest Common Factors of 746
- GCF of 746 and 750
- GCF of 746 and 751
- GCF of 746 and 752
- GCF of 746 and 753
- GCF of 746 and 754
- GCF of 746 and 755
- GCF of 746 and 756
- GCF of 746 and 757
- GCF of 746 and 758
- GCF of 746 and 759
- GCF of 746 and 760
- GCF of 746 and 761
- GCF of 746 and 762
- GCF of 746 and 763
- GCF of 746 and 764
- GCF of 746 and 765
- GCF of 746 and 766