What is the Greatest Common Factor of 33552 and 33562?
Greatest common factor (GCF) of 33552 and 33562 is 2.
GCF(33552,33562) = 2
We will now calculate the prime factors of 33552 and 33562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33552 and 33562.
How to find the GCF of 33552 and 33562?
We will first find the prime factorization of 33552 and 33562. After we will calculate the factors of 33552 and 33562 and find the biggest common factor number .
Step-1: Prime Factorization of 33552
Prime factors of 33552 are 2, 3, 233. Prime factorization of 33552 in exponential form is:
33552 = 24 × 32 × 2331
Step-2: Prime Factorization of 33562
Prime factors of 33562 are 2, 97, 173. Prime factorization of 33562 in exponential form is:
33562 = 21 × 971 × 1731
Step-3: Factors of 33552
List of positive integer factors of 33552 that divides 33552 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 3728, 4194, 5592, 8388, 11184, 16776
Step-4: Factors of 33562
List of positive integer factors of 33562 that divides 33552 without a remainder.
1, 2, 97, 173, 194, 346, 16781
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33552 and 33562. The biggest common factor number is the GCF number.
So the greatest common factor 33552 and 33562 is 2.
Also check out the Least Common Multiple of 33552 and 33562
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