What is the Greatest Common Factor of 764 and 770?
Greatest common factor (GCF) of 764 and 770 is 2.
GCF(764,770) = 2
We will now calculate the prime factors of 764 and 770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 764 and 770.
How to find the GCF of 764 and 770?
We will first find the prime factorization of 764 and 770. After we will calculate the factors of 764 and 770 and find the biggest common factor number .
Step-1: Prime Factorization of 764
Prime factors of 764 are 2, 191. Prime factorization of 764 in exponential form is:
764 = 22 × 1911
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 764
List of positive integer factors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382
Step-4: Factors of 770
List of positive integer factors of 770 that divides 764 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 764 and 770. The biggest common factor number is the GCF number.
So the greatest common factor 764 and 770 is 2.
Also check out the Least Common Multiple of 764 and 770
Related Greatest Common Factors of 764
- GCF of 764 and 768
- GCF of 764 and 769
- GCF of 764 and 770
- GCF of 764 and 771
- GCF of 764 and 772
- GCF of 764 and 773
- GCF of 764 and 774
- GCF of 764 and 775
- GCF of 764 and 776
- GCF of 764 and 777
- GCF of 764 and 778
- GCF of 764 and 779
- GCF of 764 and 780
- GCF of 764 and 781
- GCF of 764 and 782
- GCF of 764 and 783
- GCF of 764 and 784
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