What is the Greatest Common Factor of 77388 and 77406?
Greatest common factor (GCF) of 77388 and 77406 is 6.
GCF(77388,77406) = 6
We will now calculate the prime factors of 77388 and 77406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77388 and 77406.
How to find the GCF of 77388 and 77406?
We will first find the prime factorization of 77388 and 77406. After we will calculate the factors of 77388 and 77406 and find the biggest common factor number .
Step-1: Prime Factorization of 77388
Prime factors of 77388 are 2, 3, 6449. Prime factorization of 77388 in exponential form is:
77388 = 22 × 31 × 64491
Step-2: Prime Factorization of 77406
Prime factors of 77406 are 2, 3, 7, 19, 97. Prime factorization of 77406 in exponential form is:
77406 = 21 × 31 × 71 × 191 × 971
Step-3: Factors of 77388
List of positive integer factors of 77388 that divides 77388 without a remainder.
1, 2, 3, 4, 6, 12, 6449, 12898, 19347, 25796, 38694
Step-4: Factors of 77406
List of positive integer factors of 77406 that divides 77388 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 97, 114, 133, 194, 266, 291, 399, 582, 679, 798, 1358, 1843, 2037, 3686, 4074, 5529, 11058, 12901, 25802, 38703
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77388 and 77406. The biggest common factor number is the GCF number.
So the greatest common factor 77388 and 77406 is 6.
Also check out the Least Common Multiple of 77388 and 77406
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Related Greatest Common Factors of 77406
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