What is the Greatest Common Factor of 740 and 758?
Greatest common factor (GCF) of 740 and 758 is 2.
GCF(740,758) = 2
We will now calculate the prime factors of 740 and 758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 740 and 758.
How to find the GCF of 740 and 758?
We will first find the prime factorization of 740 and 758. After we will calculate the factors of 740 and 758 and find the biggest common factor number .
Step-1: Prime Factorization of 740
Prime factors of 740 are 2, 5, 37. Prime factorization of 740 in exponential form is:
740 = 22 × 51 × 371
Step-2: Prime Factorization of 758
Prime factors of 758 are 2, 379. Prime factorization of 758 in exponential form is:
758 = 21 × 3791
Step-3: Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370
Step-4: Factors of 758
List of positive integer factors of 758 that divides 740 without a remainder.
1, 2, 379
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 740 and 758. The biggest common factor number is the GCF number.
So the greatest common factor 740 and 758 is 2.
Also check out the Least Common Multiple of 740 and 758
Related Greatest Common Factors of 740
- GCF of 740 and 744
- GCF of 740 and 745
- GCF of 740 and 746
- GCF of 740 and 747
- GCF of 740 and 748
- GCF of 740 and 749
- GCF of 740 and 750
- GCF of 740 and 751
- GCF of 740 and 752
- GCF of 740 and 753
- GCF of 740 and 754
- GCF of 740 and 755
- GCF of 740 and 756
- GCF of 740 and 757
- GCF of 740 and 758
- GCF of 740 and 759
- GCF of 740 and 760
Related Greatest Common Factors of 758
- GCF of 758 and 762
- GCF of 758 and 763
- GCF of 758 and 764
- GCF of 758 and 765
- GCF of 758 and 766
- GCF of 758 and 767
- GCF of 758 and 768
- GCF of 758 and 769
- GCF of 758 and 770
- GCF of 758 and 771
- GCF of 758 and 772
- GCF of 758 and 773
- GCF of 758 and 774
- GCF of 758 and 775
- GCF of 758 and 776
- GCF of 758 and 777
- GCF of 758 and 778