What is the Greatest Common Factor of 736 and 750?
Greatest common factor (GCF) of 736 and 750 is 2.
GCF(736,750) = 2
We will now calculate the prime factors of 736 and 750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 736 and 750.
How to find the GCF of 736 and 750?
We will first find the prime factorization of 736 and 750. After we will calculate the factors of 736 and 750 and find the biggest common factor number .
Step-1: Prime Factorization of 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
Step-2: Prime Factorization of 750
Prime factors of 750 are 2, 3, 5. Prime factorization of 750 in exponential form is:
750 = 21 × 31 × 53
Step-3: Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368
Step-4: Factors of 750
List of positive integer factors of 750 that divides 736 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 736 and 750. The biggest common factor number is the GCF number.
So the greatest common factor 736 and 750 is 2.
Also check out the Least Common Multiple of 736 and 750
Related Greatest Common Factors of 736
- GCF of 736 and 740
- GCF of 736 and 741
- GCF of 736 and 742
- GCF of 736 and 743
- GCF of 736 and 744
- GCF of 736 and 745
- GCF of 736 and 746
- GCF of 736 and 747
- GCF of 736 and 748
- GCF of 736 and 749
- GCF of 736 and 750
- GCF of 736 and 751
- GCF of 736 and 752
- GCF of 736 and 753
- GCF of 736 and 754
- GCF of 736 and 755
- GCF of 736 and 756
Related Greatest Common Factors of 750
- GCF of 750 and 754
- GCF of 750 and 755
- GCF of 750 and 756
- GCF of 750 and 757
- GCF of 750 and 758
- GCF of 750 and 759
- GCF of 750 and 760
- GCF of 750 and 761
- GCF of 750 and 762
- GCF of 750 and 763
- GCF of 750 and 764
- GCF of 750 and 765
- GCF of 750 and 766
- GCF of 750 and 767
- GCF of 750 and 768
- GCF of 750 and 769
- GCF of 750 and 770