What is the Greatest Common Factor of 7475 and 7486?
Greatest common factor (GCF) of 7475 and 7486 is 1.
GCF(7475,7486) = 1
We will now calculate the prime factors of 7475 and 7486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7475 and 7486.
How to find the GCF of 7475 and 7486?
We will first find the prime factorization of 7475 and 7486. After we will calculate the factors of 7475 and 7486 and find the biggest common factor number .
Step-1: Prime Factorization of 7475
Prime factors of 7475 are 5, 13, 23. Prime factorization of 7475 in exponential form is:
7475 = 52 × 131 × 231
Step-2: Prime Factorization of 7486
Prime factors of 7486 are 2, 19, 197. Prime factorization of 7486 in exponential form is:
7486 = 21 × 191 × 1971
Step-3: Factors of 7475
List of positive integer factors of 7475 that divides 7475 without a remainder.
1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495
Step-4: Factors of 7486
List of positive integer factors of 7486 that divides 7475 without a remainder.
1, 2, 19, 38, 197, 394, 3743
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7475 and 7486. The biggest common factor number is the GCF number.
So the greatest common factor 7475 and 7486 is 1.
Also check out the Least Common Multiple of 7475 and 7486
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Related Greatest Common Factors of 7486
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