What is the Greatest Common Factor of 33828 and 33836?
Greatest common factor (GCF) of 33828 and 33836 is 4.
GCF(33828,33836) = 4
We will now calculate the prime factors of 33828 and 33836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33828 and 33836.
How to find the GCF of 33828 and 33836?
We will first find the prime factorization of 33828 and 33836. After we will calculate the factors of 33828 and 33836 and find the biggest common factor number .
Step-1: Prime Factorization of 33828
Prime factors of 33828 are 2, 3, 2819. Prime factorization of 33828 in exponential form is:
33828 = 22 × 31 × 28191
Step-2: Prime Factorization of 33836
Prime factors of 33836 are 2, 11, 769. Prime factorization of 33836 in exponential form is:
33836 = 22 × 111 × 7691
Step-3: Factors of 33828
List of positive integer factors of 33828 that divides 33828 without a remainder.
1, 2, 3, 4, 6, 12, 2819, 5638, 8457, 11276, 16914
Step-4: Factors of 33836
List of positive integer factors of 33836 that divides 33828 without a remainder.
1, 2, 4, 11, 22, 44, 769, 1538, 3076, 8459, 16918
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33828 and 33836. The biggest common factor number is the GCF number.
So the greatest common factor 33828 and 33836 is 4.
Also check out the Least Common Multiple of 33828 and 33836
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Related Greatest Common Factors of 33836
- GCF of 33836 and 33840
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- GCF of 33836 and 33846
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