What is the Greatest Common Factor of 760 and 778?
Greatest common factor (GCF) of 760 and 778 is 2.
GCF(760,778) = 2
We will now calculate the prime factors of 760 and 778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 760 and 778.
How to find the GCF of 760 and 778?
We will first find the prime factorization of 760 and 778. After we will calculate the factors of 760 and 778 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 778
Prime factors of 778 are 2, 389. Prime factorization of 778 in exponential form is:
778 = 21 × 3891
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 778
List of positive integer factors of 778 that divides 760 without a remainder.
1, 2, 389
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 760 and 778. The biggest common factor number is the GCF number.
So the greatest common factor 760 and 778 is 2.
Also check out the Least Common Multiple of 760 and 778
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