What is the Greatest Common Factor of 8492 and 8496?
Greatest common factor (GCF) of 8492 and 8496 is 4.
GCF(8492,8496) = 4
We will now calculate the prime factors of 8492 and 8496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8492 and 8496.
How to find the GCF of 8492 and 8496?
We will first find the prime factorization of 8492 and 8496. After we will calculate the factors of 8492 and 8496 and find the biggest common factor number .
Step-1: Prime Factorization of 8492
Prime factors of 8492 are 2, 11, 193. Prime factorization of 8492 in exponential form is:
8492 = 22 × 111 × 1931
Step-2: Prime Factorization of 8496
Prime factors of 8496 are 2, 3, 59. Prime factorization of 8496 in exponential form is:
8496 = 24 × 32 × 591
Step-3: Factors of 8492
List of positive integer factors of 8492 that divides 8492 without a remainder.
1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246
Step-4: Factors of 8496
List of positive integer factors of 8496 that divides 8492 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8492 and 8496. The biggest common factor number is the GCF number.
So the greatest common factor 8492 and 8496 is 4.
Also check out the Least Common Multiple of 8492 and 8496
Related Greatest Common Factors of 8492
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Related Greatest Common Factors of 8496
- GCF of 8496 and 8500
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