What is the Greatest Common Factor of 77310 and 77325?
Greatest common factor (GCF) of 77310 and 77325 is 15.
GCF(77310,77325) = 15
We will now calculate the prime factors of 77310 and 77325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77310 and 77325.
How to find the GCF of 77310 and 77325?
We will first find the prime factorization of 77310 and 77325. After we will calculate the factors of 77310 and 77325 and find the biggest common factor number .
Step-1: Prime Factorization of 77310
Prime factors of 77310 are 2, 3, 5, 859. Prime factorization of 77310 in exponential form is:
77310 = 21 × 32 × 51 × 8591
Step-2: Prime Factorization of 77325
Prime factors of 77325 are 3, 5, 1031. Prime factorization of 77325 in exponential form is:
77325 = 31 × 52 × 10311
Step-3: Factors of 77310
List of positive integer factors of 77310 that divides 77310 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 859, 1718, 2577, 4295, 5154, 7731, 8590, 12885, 15462, 25770, 38655
Step-4: Factors of 77325
List of positive integer factors of 77325 that divides 77310 without a remainder.
1, 3, 5, 15, 25, 75, 1031, 3093, 5155, 15465, 25775
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77310 and 77325. The biggest common factor number is the GCF number.
So the greatest common factor 77310 and 77325 is 15.
Also check out the Least Common Multiple of 77310 and 77325
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