What is the Greatest Common Factor of 8464 and 8475?
Greatest common factor (GCF) of 8464 and 8475 is 1.
GCF(8464,8475) = 1
We will now calculate the prime factors of 8464 and 8475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8464 and 8475.
How to find the GCF of 8464 and 8475?
We will first find the prime factorization of 8464 and 8475. After we will calculate the factors of 8464 and 8475 and find the biggest common factor number .
Step-1: Prime Factorization of 8464
Prime factors of 8464 are 2, 23. Prime factorization of 8464 in exponential form is:
8464 = 24 × 232
Step-2: Prime Factorization of 8475
Prime factors of 8475 are 3, 5, 113. Prime factorization of 8475 in exponential form is:
8475 = 31 × 52 × 1131
Step-3: Factors of 8464
List of positive integer factors of 8464 that divides 8464 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232
Step-4: Factors of 8475
List of positive integer factors of 8475 that divides 8464 without a remainder.
1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8464 and 8475. The biggest common factor number is the GCF number.
So the greatest common factor 8464 and 8475 is 1.
Also check out the Least Common Multiple of 8464 and 8475
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Related Greatest Common Factors of 8475
- GCF of 8475 and 8479
- GCF of 8475 and 8480
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- GCF of 8475 and 8489
- GCF of 8475 and 8490
- GCF of 8475 and 8491
- GCF of 8475 and 8492
- GCF of 8475 and 8493
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