What is the Greatest Common Factor of 76935 and 76955?
Greatest common factor (GCF) of 76935 and 76955 is 5.
GCF(76935,76955) = 5
We will now calculate the prime factors of 76935 and 76955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76935 and 76955.
How to find the GCF of 76935 and 76955?
We will first find the prime factorization of 76935 and 76955. After we will calculate the factors of 76935 and 76955 and find the biggest common factor number .
Step-1: Prime Factorization of 76935
Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:
76935 = 31 × 51 × 231 × 2231
Step-2: Prime Factorization of 76955
Prime factors of 76955 are 5, 15391. Prime factorization of 76955 in exponential form is:
76955 = 51 × 153911
Step-3: Factors of 76935
List of positive integer factors of 76935 that divides 76935 without a remainder.
1, 3, 5, 15, 23, 69, 115, 223, 345, 669, 1115, 3345, 5129, 15387, 25645
Step-4: Factors of 76955
List of positive integer factors of 76955 that divides 76935 without a remainder.
1, 5, 15391
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76935 and 76955. The biggest common factor number is the GCF number.
So the greatest common factor 76935 and 76955 is 5.
Also check out the Least Common Multiple of 76935 and 76955
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