What is the Greatest Common Factor of 72675 and 72684?
Greatest common factor (GCF) of 72675 and 72684 is 9.
GCF(72675,72684) = 9
We will now calculate the prime factors of 72675 and 72684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72675 and 72684.
How to find the GCF of 72675 and 72684?
We will first find the prime factorization of 72675 and 72684. After we will calculate the factors of 72675 and 72684 and find the biggest common factor number .
Step-1: Prime Factorization of 72675
Prime factors of 72675 are 3, 5, 17, 19. Prime factorization of 72675 in exponential form is:
72675 = 32 × 52 × 171 × 191
Step-2: Prime Factorization of 72684
Prime factors of 72684 are 2, 3, 673. Prime factorization of 72684 in exponential form is:
72684 = 22 × 33 × 6731
Step-3: Factors of 72675
List of positive integer factors of 72675 that divides 72675 without a remainder.
1, 3, 5, 9, 15, 17, 19, 25, 45, 51, 57, 75, 85, 95, 153, 171, 225, 255, 285, 323, 425, 475, 765, 855, 969, 1275, 1425, 1615, 2907, 3825, 4275, 4845, 8075, 14535, 24225
Step-4: Factors of 72684
List of positive integer factors of 72684 that divides 72675 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 673, 1346, 2019, 2692, 4038, 6057, 8076, 12114, 18171, 24228, 36342
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72675 and 72684. The biggest common factor number is the GCF number.
So the greatest common factor 72675 and 72684 is 9.
Also check out the Least Common Multiple of 72675 and 72684
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