What is the Greatest Common Factor of 7446 and 7463?
Greatest common factor (GCF) of 7446 and 7463 is 17.
GCF(7446,7463) = 17
We will now calculate the prime factors of 7446 and 7463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7446 and 7463.
How to find the GCF of 7446 and 7463?
We will first find the prime factorization of 7446 and 7463. After we will calculate the factors of 7446 and 7463 and find the biggest common factor number .
Step-1: Prime Factorization of 7446
Prime factors of 7446 are 2, 3, 17, 73. Prime factorization of 7446 in exponential form is:
7446 = 21 × 31 × 171 × 731
Step-2: Prime Factorization of 7463
Prime factors of 7463 are 17, 439. Prime factorization of 7463 in exponential form is:
7463 = 171 × 4391
Step-3: Factors of 7446
List of positive integer factors of 7446 that divides 7446 without a remainder.
1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723
Step-4: Factors of 7463
List of positive integer factors of 7463 that divides 7446 without a remainder.
1, 17, 439
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7446 and 7463. The biggest common factor number is the GCF number.
So the greatest common factor 7446 and 7463 is 17.
Also check out the Least Common Multiple of 7446 and 7463
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