What is the Greatest Common Factor of 66024 and 66039?
Greatest common factor (GCF) of 66024 and 66039 is 3.
GCF(66024,66039) = 3
We will now calculate the prime factors of 66024 and 66039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66024 and 66039.
How to find the GCF of 66024 and 66039?
We will first find the prime factorization of 66024 and 66039. After we will calculate the factors of 66024 and 66039 and find the biggest common factor number .
Step-1: Prime Factorization of 66024
Prime factors of 66024 are 2, 3, 7, 131. Prime factorization of 66024 in exponential form is:
66024 = 23 × 32 × 71 × 1311
Step-2: Prime Factorization of 66039
Prime factors of 66039 are 3, 22013. Prime factorization of 66039 in exponential form is:
66039 = 31 × 220131
Step-3: Factors of 66024
List of positive integer factors of 66024 that divides 66024 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 131, 168, 252, 262, 393, 504, 524, 786, 917, 1048, 1179, 1572, 1834, 2358, 2751, 3144, 3668, 4716, 5502, 7336, 8253, 9432, 11004, 16506, 22008, 33012
Step-4: Factors of 66039
List of positive integer factors of 66039 that divides 66024 without a remainder.
1, 3, 22013
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66024 and 66039. The biggest common factor number is the GCF number.
So the greatest common factor 66024 and 66039 is 3.
Also check out the Least Common Multiple of 66024 and 66039
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