What is the Greatest Common Factor of 77376 and 77391?
Greatest common factor (GCF) of 77376 and 77391 is 3.
GCF(77376,77391) = 3
We will now calculate the prime factors of 77376 and 77391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77376 and 77391.
How to find the GCF of 77376 and 77391?
We will first find the prime factorization of 77376 and 77391. After we will calculate the factors of 77376 and 77391 and find the biggest common factor number .
Step-1: Prime Factorization of 77376
Prime factors of 77376 are 2, 3, 13, 31. Prime factorization of 77376 in exponential form is:
77376 = 26 × 31 × 131 × 311
Step-2: Prime Factorization of 77391
Prime factors of 77391 are 3, 8599. Prime factorization of 77391 in exponential form is:
77391 = 32 × 85991
Step-3: Factors of 77376
List of positive integer factors of 77376 that divides 77376 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 32, 39, 48, 52, 62, 64, 78, 93, 96, 104, 124, 156, 186, 192, 208, 248, 312, 372, 403, 416, 496, 624, 744, 806, 832, 992, 1209, 1248, 1488, 1612, 1984, 2418, 2496, 2976, 3224, 4836, 5952, 6448, 9672, 12896, 19344, 25792, 38688
Step-4: Factors of 77391
List of positive integer factors of 77391 that divides 77376 without a remainder.
1, 3, 9, 8599, 25797
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77376 and 77391. The biggest common factor number is the GCF number.
So the greatest common factor 77376 and 77391 is 3.
Also check out the Least Common Multiple of 77376 and 77391
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