What is the Greatest Common Factor of 7458 and 7467?
Greatest common factor (GCF) of 7458 and 7467 is 3.
GCF(7458,7467) = 3
We will now calculate the prime factors of 7458 and 7467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7458 and 7467.
How to find the GCF of 7458 and 7467?
We will first find the prime factorization of 7458 and 7467. After we will calculate the factors of 7458 and 7467 and find the biggest common factor number .
Step-1: Prime Factorization of 7458
Prime factors of 7458 are 2, 3, 11, 113. Prime factorization of 7458 in exponential form is:
7458 = 21 × 31 × 111 × 1131
Step-2: Prime Factorization of 7467
Prime factors of 7467 are 3, 19, 131. Prime factorization of 7467 in exponential form is:
7467 = 31 × 191 × 1311
Step-3: Factors of 7458
List of positive integer factors of 7458 that divides 7458 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729
Step-4: Factors of 7467
List of positive integer factors of 7467 that divides 7458 without a remainder.
1, 3, 19, 57, 131, 393, 2489
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7458 and 7467. The biggest common factor number is the GCF number.
So the greatest common factor 7458 and 7467 is 3.
Also check out the Least Common Multiple of 7458 and 7467
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Related Greatest Common Factors of 7467
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