What is the Greatest Common Factor of 77109 and 77115?
Greatest common factor (GCF) of 77109 and 77115 is 3.
GCF(77109,77115) = 3
We will now calculate the prime factors of 77109 and 77115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77109 and 77115.
How to find the GCF of 77109 and 77115?
We will first find the prime factorization of 77109 and 77115. After we will calculate the factors of 77109 and 77115 and find the biggest common factor number .
Step-1: Prime Factorization of 77109
Prime factors of 77109 are 3, 25703. Prime factorization of 77109 in exponential form is:
77109 = 31 × 257031
Step-2: Prime Factorization of 77115
Prime factors of 77115 are 3, 5, 53, 97. Prime factorization of 77115 in exponential form is:
77115 = 31 × 51 × 531 × 971
Step-3: Factors of 77109
List of positive integer factors of 77109 that divides 77109 without a remainder.
1, 3, 25703
Step-4: Factors of 77115
List of positive integer factors of 77115 that divides 77109 without a remainder.
1, 3, 5, 15, 53, 97, 159, 265, 291, 485, 795, 1455, 5141, 15423, 25705
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77109 and 77115. The biggest common factor number is the GCF number.
So the greatest common factor 77109 and 77115 is 3.
Also check out the Least Common Multiple of 77109 and 77115
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Related Greatest Common Factors of 77115
- GCF of 77115 and 77119
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- GCF of 77115 and 77124
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- GCF of 77115 and 77129
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