What is the Greatest Common Factor of 772 and 792?
Greatest common factor (GCF) of 772 and 792 is 4.
GCF(772,792) = 4
We will now calculate the prime factors of 772 and 792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 772 and 792.
How to find the GCF of 772 and 792?
We will first find the prime factorization of 772 and 792. After we will calculate the factors of 772 and 792 and find the biggest common factor number .
Step-1: Prime Factorization of 772
Prime factors of 772 are 2, 193. Prime factorization of 772 in exponential form is:
772 = 22 × 1931
Step-2: Prime Factorization of 792
Prime factors of 792 are 2, 3, 11. Prime factorization of 792 in exponential form is:
792 = 23 × 32 × 111
Step-3: Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386
Step-4: Factors of 792
List of positive integer factors of 792 that divides 772 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 772 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 772 and 792 is 4.
Also check out the Least Common Multiple of 772 and 792
Related Greatest Common Factors of 772
- GCF of 772 and 776
- GCF of 772 and 777
- GCF of 772 and 778
- GCF of 772 and 779
- GCF of 772 and 780
- GCF of 772 and 781
- GCF of 772 and 782
- GCF of 772 and 783
- GCF of 772 and 784
- GCF of 772 and 785
- GCF of 772 and 786
- GCF of 772 and 787
- GCF of 772 and 788
- GCF of 772 and 789
- GCF of 772 and 790
- GCF of 772 and 791
- GCF of 772 and 792
Related Greatest Common Factors of 792
- GCF of 792 and 796
- GCF of 792 and 797
- GCF of 792 and 798
- GCF of 792 and 799
- GCF of 792 and 800
- GCF of 792 and 801
- GCF of 792 and 802
- GCF of 792 and 803
- GCF of 792 and 804
- GCF of 792 and 805
- GCF of 792 and 806
- GCF of 792 and 807
- GCF of 792 and 808
- GCF of 792 and 809
- GCF of 792 and 810
- GCF of 792 and 811
- GCF of 792 and 812