What is the Greatest Common Factor of 8764 and 8774?
Greatest common factor (GCF) of 8764 and 8774 is 2.
GCF(8764,8774) = 2
We will now calculate the prime factors of 8764 and 8774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8764 and 8774.
How to find the GCF of 8764 and 8774?
We will first find the prime factorization of 8764 and 8774. After we will calculate the factors of 8764 and 8774 and find the biggest common factor number .
Step-1: Prime Factorization of 8764
Prime factors of 8764 are 2, 7, 313. Prime factorization of 8764 in exponential form is:
8764 = 22 × 71 × 3131
Step-2: Prime Factorization of 8774
Prime factors of 8774 are 2, 41, 107. Prime factorization of 8774 in exponential form is:
8774 = 21 × 411 × 1071
Step-3: Factors of 8764
List of positive integer factors of 8764 that divides 8764 without a remainder.
1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382
Step-4: Factors of 8774
List of positive integer factors of 8774 that divides 8764 without a remainder.
1, 2, 41, 82, 107, 214, 4387
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8764 and 8774. The biggest common factor number is the GCF number.
So the greatest common factor 8764 and 8774 is 2.
Also check out the Least Common Multiple of 8764 and 8774
Related Greatest Common Factors of 8764
- GCF of 8764 and 8768
- GCF of 8764 and 8769
- GCF of 8764 and 8770
- GCF of 8764 and 8771
- GCF of 8764 and 8772
- GCF of 8764 and 8773
- GCF of 8764 and 8774
- GCF of 8764 and 8775
- GCF of 8764 and 8776
- GCF of 8764 and 8777
- GCF of 8764 and 8778
- GCF of 8764 and 8779
- GCF of 8764 and 8780
- GCF of 8764 and 8781
- GCF of 8764 and 8782
- GCF of 8764 and 8783
- GCF of 8764 and 8784
Related Greatest Common Factors of 8774
- GCF of 8774 and 8778
- GCF of 8774 and 8779
- GCF of 8774 and 8780
- GCF of 8774 and 8781
- GCF of 8774 and 8782
- GCF of 8774 and 8783
- GCF of 8774 and 8784
- GCF of 8774 and 8785
- GCF of 8774 and 8786
- GCF of 8774 and 8787
- GCF of 8774 and 8788
- GCF of 8774 and 8789
- GCF of 8774 and 8790
- GCF of 8774 and 8791
- GCF of 8774 and 8792
- GCF of 8774 and 8793
- GCF of 8774 and 8794