What is the Greatest Common Factor of 777 and 785?
Greatest common factor (GCF) of 777 and 785 is 1.
GCF(777,785) = 1
We will now calculate the prime factors of 777 and 785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 777 and 785.
How to find the GCF of 777 and 785?
We will first find the prime factorization of 777 and 785. After we will calculate the factors of 777 and 785 and find the biggest common factor number .
Step-1: Prime Factorization of 777
Prime factors of 777 are 3, 7, 37. Prime factorization of 777 in exponential form is:
777 = 31 × 71 × 371
Step-2: Prime Factorization of 785
Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:
785 = 51 × 1571
Step-3: Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259
Step-4: Factors of 785
List of positive integer factors of 785 that divides 777 without a remainder.
1, 5, 157
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 777 and 785. The biggest common factor number is the GCF number.
So the greatest common factor 777 and 785 is 1.
Also check out the Least Common Multiple of 777 and 785
Related Greatest Common Factors of 777
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Related Greatest Common Factors of 785
- GCF of 785 and 789
- GCF of 785 and 790
- GCF of 785 and 791
- GCF of 785 and 792
- GCF of 785 and 793
- GCF of 785 and 794
- GCF of 785 and 795
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- GCF of 785 and 798
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- GCF of 785 and 800
- GCF of 785 and 801
- GCF of 785 and 802
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