What is the Greatest Common Factor of 33154 and 33160?
Greatest common factor (GCF) of 33154 and 33160 is 2.
GCF(33154,33160) = 2
We will now calculate the prime factors of 33154 and 33160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33154 and 33160.
How to find the GCF of 33154 and 33160?
We will first find the prime factorization of 33154 and 33160. After we will calculate the factors of 33154 and 33160 and find the biggest common factor number .
Step-1: Prime Factorization of 33154
Prime factors of 33154 are 2, 11, 137. Prime factorization of 33154 in exponential form is:
33154 = 21 × 112 × 1371
Step-2: Prime Factorization of 33160
Prime factors of 33160 are 2, 5, 829. Prime factorization of 33160 in exponential form is:
33160 = 23 × 51 × 8291
Step-3: Factors of 33154
List of positive integer factors of 33154 that divides 33154 without a remainder.
1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577
Step-4: Factors of 33160
List of positive integer factors of 33160 that divides 33154 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33154 and 33160. The biggest common factor number is the GCF number.
So the greatest common factor 33154 and 33160 is 2.
Also check out the Least Common Multiple of 33154 and 33160
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