What is the Greatest Common Factor of 67260 and 67266?
Greatest common factor (GCF) of 67260 and 67266 is 6.
GCF(67260,67266) = 6
We will now calculate the prime factors of 67260 and 67266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67260 and 67266.
How to find the GCF of 67260 and 67266?
We will first find the prime factorization of 67260 and 67266. After we will calculate the factors of 67260 and 67266 and find the biggest common factor number .
Step-1: Prime Factorization of 67260
Prime factors of 67260 are 2, 3, 5, 19, 59. Prime factorization of 67260 in exponential form is:
67260 = 22 × 31 × 51 × 191 × 591
Step-2: 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-3: Factors of 67260
List of positive integer factors of 67260 that divides 67260 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 59, 60, 76, 95, 114, 118, 177, 190, 228, 236, 285, 295, 354, 380, 570, 590, 708, 885, 1121, 1140, 1180, 1770, 2242, 3363, 3540, 4484, 5605, 6726, 11210, 13452, 16815, 22420, 33630
Step-4: Factors of 67266
List of positive integer factors of 67266 that divides 67260 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
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67260 and 67266. The biggest common factor number is the GCF number.
So the greatest common factor 67260 and 67266 is 6.
Also check out the Least Common Multiple of 67260 and 67266
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