What is the Greatest Common Factor of 8534 and 8538?
Greatest common factor (GCF) of 8534 and 8538 is 2.
GCF(8534,8538) = 2
We will now calculate the prime factors of 8534 and 8538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8534 and 8538.
How to find the GCF of 8534 and 8538?
We will first find the prime factorization of 8534 and 8538. After we will calculate the factors of 8534 and 8538 and find the biggest common factor number .
Step-1: Prime Factorization of 8534
Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:
8534 = 21 × 171 × 2511
Step-2: Prime Factorization of 8538
Prime factors of 8538 are 2, 3, 1423. Prime factorization of 8538 in exponential form is:
8538 = 21 × 31 × 14231
Step-3: Factors of 8534
List of positive integer factors of 8534 that divides 8534 without a remainder.
1, 2, 17, 34, 251, 502, 4267
Step-4: Factors of 8538
List of positive integer factors of 8538 that divides 8534 without a remainder.
1, 2, 3, 6, 1423, 2846, 4269
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8534 and 8538. The biggest common factor number is the GCF number.
So the greatest common factor 8534 and 8538 is 2.
Also check out the Least Common Multiple of 8534 and 8538
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Related Greatest Common Factors of 8538
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- GCF of 8538 and 8548
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- GCF of 8538 and 8553
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