What is the Greatest Common Factor of 65162 and 65178?
Greatest common factor (GCF) of 65162 and 65178 is 2.
GCF(65162,65178) = 2
We will now calculate the prime factors of 65162 and 65178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65162 and 65178.
How to find the GCF of 65162 and 65178?
We will first find the prime factorization of 65162 and 65178. After we will calculate the factors of 65162 and 65178 and find the biggest common factor number .
Step-1: Prime Factorization of 65162
Prime factors of 65162 are 2, 31, 1051. Prime factorization of 65162 in exponential form is:
65162 = 21 × 311 × 10511
Step-2: Prime Factorization of 65178
Prime factors of 65178 are 2, 3, 17, 71. Prime factorization of 65178 in exponential form is:
65178 = 21 × 33 × 171 × 711
Step-3: Factors of 65162
List of positive integer factors of 65162 that divides 65162 without a remainder.
1, 2, 31, 62, 1051, 2102, 32581
Step-4: Factors of 65178
List of positive integer factors of 65178 that divides 65162 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 71, 102, 142, 153, 213, 306, 426, 459, 639, 918, 1207, 1278, 1917, 2414, 3621, 3834, 7242, 10863, 21726, 32589
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65162 and 65178. The biggest common factor number is the GCF number.
So the greatest common factor 65162 and 65178 is 2.
Also check out the Least Common Multiple of 65162 and 65178
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