What is the Greatest Common Factor of 68 and 77?
Greatest common factor (GCF) of 68 and 77 is 1.
GCF(68,77) = 1
We will now calculate the prime factors of 68 and 77, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68 and 77.
How to find the GCF of 68 and 77?
We will first find the prime factorization of 68 and 77. After we will calculate the factors of 68 and 77 and find the biggest common factor number .
Step-1: Prime Factorization of 68
Prime factors of 68 are 2, 17. Prime factorization of 68 in exponential form is:
68 = 22 × 171
Step-2: Prime Factorization of 77
Prime factors of 77 are 7, 11. Prime factorization of 77 in exponential form is:
77 = 71 × 111
Step-3: Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34
Step-4: Factors of 77
List of positive integer factors of 77 that divides 68 without a remainder.
1, 7, 11
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68 and 77. The biggest common factor number is the GCF number.
So the greatest common factor 68 and 77 is 1.
Also check out the Least Common Multiple of 68 and 77