What is the Greatest Common Factor of 77376 and 77392?
Greatest common factor (GCF) of 77376 and 77392 is 16.
GCF(77376,77392) = 16
We will now calculate the prime factors of 77376 and 77392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77376 and 77392.
How to find the GCF of 77376 and 77392?
We will first find the prime factorization of 77376 and 77392. After we will calculate the factors of 77376 and 77392 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 77392
Prime factors of 77392 are 2, 7, 691. Prime factorization of 77392 in exponential form is:
77392 = 24 × 71 × 6911
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 77392
List of positive integer factors of 77392 that divides 77376 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 691, 1382, 2764, 4837, 5528, 9674, 11056, 19348, 38696
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77376 and 77392. The biggest common factor number is the GCF number.
So the greatest common factor 77376 and 77392 is 16.
Also check out the Least Common Multiple of 77376 and 77392
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