What is the Greatest Common Factor of 77376 and 77395?
Greatest common factor (GCF) of 77376 and 77395 is 1.
GCF(77376,77395) = 1
We will now calculate the prime factors of 77376 and 77395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77376 and 77395.
How to find the GCF of 77376 and 77395?
We will first find the prime factorization of 77376 and 77395. After we will calculate the factors of 77376 and 77395 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 77395
Prime factors of 77395 are 5, 23, 673. Prime factorization of 77395 in exponential form is:
77395 = 51 × 231 × 6731
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 77395
List of positive integer factors of 77395 that divides 77376 without a remainder.
1, 5, 23, 115, 673, 3365, 15479
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77376 and 77395. The biggest common factor number is the GCF number.
So the greatest common factor 77376 and 77395 is 1.
Also check out the Least Common Multiple of 77376 and 77395
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