What is the Greatest Common Factor of 77358 and 77368?
Greatest common factor (GCF) of 77358 and 77368 is 2.
GCF(77358,77368) = 2
We will now calculate the prime factors of 77358 and 77368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77358 and 77368.
How to find the GCF of 77358 and 77368?
We will first find the prime factorization of 77358 and 77368. After we will calculate the factors of 77358 and 77368 and find the biggest common factor number .
Step-1: Prime Factorization of 77358
Prime factors of 77358 are 2, 3, 12893. Prime factorization of 77358 in exponential form is:
77358 = 21 × 31 × 128931
Step-2: Prime Factorization of 77368
Prime factors of 77368 are 2, 19, 509. Prime factorization of 77368 in exponential form is:
77368 = 23 × 191 × 5091
Step-3: Factors of 77358
List of positive integer factors of 77358 that divides 77358 without a remainder.
1, 2, 3, 6, 12893, 25786, 38679
Step-4: Factors of 77368
List of positive integer factors of 77368 that divides 77358 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152, 509, 1018, 2036, 4072, 9671, 19342, 38684
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77358 and 77368. The biggest common factor number is the GCF number.
So the greatest common factor 77358 and 77368 is 2.
Also check out the Least Common Multiple of 77358 and 77368
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