What is the Greatest Common Factor of 8516 and 8532?
Greatest common factor (GCF) of 8516 and 8532 is 4.
GCF(8516,8532) = 4
We will now calculate the prime factors of 8516 and 8532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8516 and 8532.
How to find the GCF of 8516 and 8532?
We will first find the prime factorization of 8516 and 8532. After we will calculate the factors of 8516 and 8532 and find the biggest common factor number .
Step-1: Prime Factorization of 8516
Prime factors of 8516 are 2, 2129. Prime factorization of 8516 in exponential form is:
8516 = 22 × 21291
Step-2: Prime Factorization of 8532
Prime factors of 8532 are 2, 3, 79. Prime factorization of 8532 in exponential form is:
8532 = 22 × 33 × 791
Step-3: Factors of 8516
List of positive integer factors of 8516 that divides 8516 without a remainder.
1, 2, 4, 2129, 4258
Step-4: Factors of 8532
List of positive integer factors of 8532 that divides 8516 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8516 and 8532. The biggest common factor number is the GCF number.
So the greatest common factor 8516 and 8532 is 4.
Also check out the Least Common Multiple of 8516 and 8532
Related Greatest Common Factors of 8516
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Related Greatest Common Factors of 8532
- GCF of 8532 and 8536
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- GCF of 8532 and 8545
- GCF of 8532 and 8546
- GCF of 8532 and 8547
- GCF of 8532 and 8548
- GCF of 8532 and 8549
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