What is the Greatest Common Factor of 760 and 770?
Greatest common factor (GCF) of 760 and 770 is 10.
GCF(760,770) = 10
We will now calculate the prime factors of 760 and 770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 760 and 770.
How to find the GCF of 760 and 770?
We will first find the prime factorization of 760 and 770. After we will calculate the factors of 760 and 770 and find the biggest common factor number .
Step-1: Prime Factorization of 760
Prime factors of 760 are 2, 5, 19. Prime factorization of 760 in exponential form is:
760 = 23 × 51 × 191
Step-2: Prime Factorization of 770
Prime factors of 770 are 2, 5, 7, 11. Prime factorization of 770 in exponential form is:
770 = 21 × 51 × 71 × 111
Step-3: Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380
Step-4: Factors of 770
List of positive integer factors of 770 that divides 760 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 760 and 770. The biggest common factor number is the GCF number.
So the greatest common factor 760 and 770 is 10.
Also check out the Least Common Multiple of 760 and 770
Related Greatest Common Factors of 760
- GCF of 760 and 764
- GCF of 760 and 765
- GCF of 760 and 766
- GCF of 760 and 767
- GCF of 760 and 768
- GCF of 760 and 769
- GCF of 760 and 770
- GCF of 760 and 771
- GCF of 760 and 772
- GCF of 760 and 773
- GCF of 760 and 774
- GCF of 760 and 775
- GCF of 760 and 776
- GCF of 760 and 777
- GCF of 760 and 778
- GCF of 760 and 779
- GCF of 760 and 780
Related Greatest Common Factors of 770
- GCF of 770 and 774
- GCF of 770 and 775
- GCF of 770 and 776
- GCF of 770 and 777
- GCF of 770 and 778
- GCF of 770 and 779
- GCF of 770 and 780
- GCF of 770 and 781
- GCF of 770 and 782
- GCF of 770 and 783
- GCF of 770 and 784
- GCF of 770 and 785
- GCF of 770 and 786
- GCF of 770 and 787
- GCF of 770 and 788
- GCF of 770 and 789
- GCF of 770 and 790