What is the Greatest Common Factor of 734 and 742?
Greatest common factor (GCF) of 734 and 742 is 2.
GCF(734,742) = 2
We will now calculate the prime factors of 734 and 742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 734 and 742.
How to find the GCF of 734 and 742?
We will first find the prime factorization of 734 and 742. After we will calculate the factors of 734 and 742 and find the biggest common factor number .
Step-1: Prime Factorization of 734
Prime factors of 734 are 2, 367. Prime factorization of 734 in exponential form is:
734 = 21 × 3671
Step-2: Prime Factorization of 742
Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:
742 = 21 × 71 × 531
Step-3: Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1, 2, 367
Step-4: Factors of 742
List of positive integer factors of 742 that divides 734 without a remainder.
1, 2, 7, 14, 53, 106, 371
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 734 and 742. The biggest common factor number is the GCF number.
So the greatest common factor 734 and 742 is 2.
Also check out the Least Common Multiple of 734 and 742
Related Greatest Common Factors of 734
- GCF of 734 and 738
- GCF of 734 and 739
- GCF of 734 and 740
- GCF of 734 and 741
- GCF of 734 and 742
- GCF of 734 and 743
- GCF of 734 and 744
- GCF of 734 and 745
- GCF of 734 and 746
- GCF of 734 and 747
- GCF of 734 and 748
- GCF of 734 and 749
- GCF of 734 and 750
- GCF of 734 and 751
- GCF of 734 and 752
- GCF of 734 and 753
- GCF of 734 and 754
Related Greatest Common Factors of 742
- GCF of 742 and 746
- GCF of 742 and 747
- GCF of 742 and 748
- GCF of 742 and 749
- GCF of 742 and 750
- GCF of 742 and 751
- GCF of 742 and 752
- GCF of 742 and 753
- GCF of 742 and 754
- GCF of 742 and 755
- GCF of 742 and 756
- GCF of 742 and 757
- GCF of 742 and 758
- GCF of 742 and 759
- GCF of 742 and 760
- GCF of 742 and 761
- GCF of 742 and 762