What is the Greatest Common Factor of 749 and 765?
Greatest common factor (GCF) of 749 and 765 is 1.
GCF(749,765) = 1
We will now calculate the prime factors of 749 and 765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 749 and 765.
How to find the GCF of 749 and 765?
We will first find the prime factorization of 749 and 765. After we will calculate the factors of 749 and 765 and find the biggest common factor number .
Step-1: Prime Factorization of 749
Prime factors of 749 are 7, 107. Prime factorization of 749 in exponential form is:
749 = 71 × 1071
Step-2: Prime Factorization of 765
Prime factors of 765 are 3, 5, 17. Prime factorization of 765 in exponential form is:
765 = 32 × 51 × 171
Step-3: Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1, 7, 107
Step-4: Factors of 765
List of positive integer factors of 765 that divides 749 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 749 and 765. The biggest common factor number is the GCF number.
So the greatest common factor 749 and 765 is 1.
Also check out the Least Common Multiple of 749 and 765
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
Related Greatest Common Factors of 765
- GCF of 765 and 769
- GCF of 765 and 770
- GCF of 765 and 771
- GCF of 765 and 772
- GCF of 765 and 773
- GCF of 765 and 774
- GCF of 765 and 775
- GCF of 765 and 776
- GCF of 765 and 777
- GCF of 765 and 778
- GCF of 765 and 779
- GCF of 765 and 780
- GCF of 765 and 781
- GCF of 765 and 782
- GCF of 765 and 783
- GCF of 765 and 784
- GCF of 765 and 785