What is the Greatest Common Factor of 33148 and 33156?
Greatest common factor (GCF) of 33148 and 33156 is 4.
GCF(33148,33156) = 4
We will now calculate the prime factors of 33148 and 33156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33148 and 33156.
How to find the GCF of 33148 and 33156?
We will first find the prime factorization of 33148 and 33156. After we will calculate the factors of 33148 and 33156 and find the biggest common factor number .
Step-1: Prime Factorization of 33148
Prime factors of 33148 are 2, 8287. Prime factorization of 33148 in exponential form is:
33148 = 22 × 82871
Step-2: Prime Factorization of 33156
Prime factors of 33156 are 2, 3, 307. Prime factorization of 33156 in exponential form is:
33156 = 22 × 33 × 3071
Step-3: Factors of 33148
List of positive integer factors of 33148 that divides 33148 without a remainder.
1, 2, 4, 8287, 16574
Step-4: Factors of 33156
List of positive integer factors of 33156 that divides 33148 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33148 and 33156. The biggest common factor number is the GCF number.
So the greatest common factor 33148 and 33156 is 4.
Also check out the Least Common Multiple of 33148 and 33156
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