What is the Greatest Common Factor of 77088 and 77099?
Greatest common factor (GCF) of 77088 and 77099 is 11.
GCF(77088,77099) = 11
We will now calculate the prime factors of 77088 and 77099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77099.
How to find the GCF of 77088 and 77099?
We will first find the prime factorization of 77088 and 77099. After we will calculate the factors of 77088 and 77099 and find the biggest common factor number .
Step-1: Prime Factorization of 77088
Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:
77088 = 25 × 31 × 111 × 731
Step-2: Prime Factorization of 77099
Prime factors of 77099 are 11, 43, 163. Prime factorization of 77099 in exponential form is:
77099 = 111 × 431 × 1631
Step-3: Factors of 77088
List of positive integer factors of 77088 that divides 77088 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 73, 88, 96, 132, 146, 176, 219, 264, 292, 352, 438, 528, 584, 803, 876, 1056, 1168, 1606, 1752, 2336, 2409, 3212, 3504, 4818, 6424, 7008, 9636, 12848, 19272, 25696, 38544
Step-4: Factors of 77099
List of positive integer factors of 77099 that divides 77088 without a remainder.
1, 11, 43, 163, 473, 1793, 7009
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77088 and 77099. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77099 is 11.
Also check out the Least Common Multiple of 77088 and 77099
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