What is the Greatest Common Factor of 77376 and 77386?
Greatest common factor (GCF) of 77376 and 77386 is 2.
GCF(77376,77386) = 2
We will now calculate the prime factors of 77376 and 77386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77376 and 77386.
How to find the GCF of 77376 and 77386?
We will first find the prime factorization of 77376 and 77386. After we will calculate the factors of 77376 and 77386 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 77386
Prime factors of 77386 are 2, 38693. Prime factorization of 77386 in exponential form is:
77386 = 21 × 386931
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 77386
List of positive integer factors of 77386 that divides 77376 without a remainder.
1, 2, 38693
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77376 and 77386. The biggest common factor number is the GCF number.
So the greatest common factor 77376 and 77386 is 2.
Also check out the Least Common Multiple of 77376 and 77386
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