What is the Greatest Common Factor of 67266 and 67275?
Greatest common factor (GCF) of 67266 and 67275 is 9.
GCF(67266,67275) = 9
We will now calculate the prime factors of 67266 and 67275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67266 and 67275.
How to find the GCF of 67266 and 67275?
We will first find the prime factorization of 67266 and 67275. After we will calculate the factors of 67266 and 67275 and find the biggest common factor number .
Step-1: Prime Factorization of 67266
Prime factors of 67266 are 2, 3, 37, 101. Prime factorization of 67266 in exponential form is:
67266 = 21 × 32 × 371 × 1011
Step-2: Prime Factorization of 67275
Prime factors of 67275 are 3, 5, 13, 23. Prime factorization of 67275 in exponential form is:
67275 = 32 × 52 × 131 × 231
Step-3: Factors of 67266
List of positive integer factors of 67266 that divides 67266 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 101, 111, 202, 222, 303, 333, 606, 666, 909, 1818, 3737, 7474, 11211, 22422, 33633
Step-4: Factors of 67275
List of positive integer factors of 67275 that divides 67266 without a remainder.
1, 3, 5, 9, 13, 15, 23, 25, 39, 45, 65, 69, 75, 115, 117, 195, 207, 225, 299, 325, 345, 575, 585, 897, 975, 1035, 1495, 1725, 2691, 2925, 4485, 5175, 7475, 13455, 22425
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67266 and 67275. The biggest common factor number is the GCF number.
So the greatest common factor 67266 and 67275 is 9.
Also check out the Least Common Multiple of 67266 and 67275
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