What is the Greatest Common Factor of 67240 and 67248?
Greatest common factor (GCF) of 67240 and 67248 is 8.
GCF(67240,67248) = 8
We will now calculate the prime factors of 67240 and 67248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67240 and 67248.
How to find the GCF of 67240 and 67248?
We will first find the prime factorization of 67240 and 67248. After we will calculate the factors of 67240 and 67248 and find the biggest common factor number .
Step-1: Prime Factorization of 67240
Prime factors of 67240 are 2, 5, 41. Prime factorization of 67240 in exponential form is:
67240 = 23 × 51 × 412
Step-2: Prime Factorization of 67248
Prime factors of 67248 are 2, 3, 467. Prime factorization of 67248 in exponential form is:
67248 = 24 × 32 × 4671
Step-3: Factors of 67240
List of positive integer factors of 67240 that divides 67240 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640, 1681, 3362, 6724, 8405, 13448, 16810, 33620
Step-4: Factors of 67248
List of positive integer factors of 67248 that divides 67240 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 467, 934, 1401, 1868, 2802, 3736, 4203, 5604, 7472, 8406, 11208, 16812, 22416, 33624
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67240 and 67248. The biggest common factor number is the GCF number.
So the greatest common factor 67240 and 67248 is 8.
Also check out the Least Common Multiple of 67240 and 67248
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