What is the Greatest Common Factor of 33512 and 33528?
Greatest common factor (GCF) of 33512 and 33528 is 8.
GCF(33512,33528) = 8
We will now calculate the prime factors of 33512 and 33528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33512 and 33528.
How to find the GCF of 33512 and 33528?
We will first find the prime factorization of 33512 and 33528. After we will calculate the factors of 33512 and 33528 and find the biggest common factor number .
Step-1: Prime Factorization of 33512
Prime factors of 33512 are 2, 59, 71. Prime factorization of 33512 in exponential form is:
33512 = 23 × 591 × 711
Step-2: Prime Factorization of 33528
Prime factors of 33528 are 2, 3, 11, 127. Prime factorization of 33528 in exponential form is:
33528 = 23 × 31 × 111 × 1271
Step-3: Factors of 33512
List of positive integer factors of 33512 that divides 33512 without a remainder.
1, 2, 4, 8, 59, 71, 118, 142, 236, 284, 472, 568, 4189, 8378, 16756
Step-4: Factors of 33528
List of positive integer factors of 33528 that divides 33512 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 127, 132, 254, 264, 381, 508, 762, 1016, 1397, 1524, 2794, 3048, 4191, 5588, 8382, 11176, 16764
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33512 and 33528. The biggest common factor number is the GCF number.
So the greatest common factor 33512 and 33528 is 8.
Also check out the Least Common Multiple of 33512 and 33528
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Related Greatest Common Factors of 33528
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- GCF of 33528 and 33544
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