What is the Greatest Common Factor of 77055 and 77070?
Greatest common factor (GCF) of 77055 and 77070 is 15.
GCF(77055,77070) = 15
We will now calculate the prime factors of 77055 and 77070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77055 and 77070.
How to find the GCF of 77055 and 77070?
We will first find the prime factorization of 77055 and 77070. After we will calculate the factors of 77055 and 77070 and find the biggest common factor number .
Step-1: Prime Factorization of 77055
Prime factors of 77055 are 3, 5, 11, 467. Prime factorization of 77055 in exponential form is:
77055 = 31 × 51 × 111 × 4671
Step-2: Prime Factorization of 77070
Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:
77070 = 21 × 31 × 51 × 71 × 3671
Step-3: Factors of 77055
List of positive integer factors of 77055 that divides 77055 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165, 467, 1401, 2335, 5137, 7005, 15411, 25685
Step-4: Factors of 77070
List of positive integer factors of 77070 that divides 77055 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 367, 734, 1101, 1835, 2202, 2569, 3670, 5138, 5505, 7707, 11010, 12845, 15414, 25690, 38535
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77055 and 77070. The biggest common factor number is the GCF number.
So the greatest common factor 77055 and 77070 is 15.
Also check out the Least Common Multiple of 77055 and 77070
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