What is the Greatest Common Factor of 20846 and 20864?
Greatest common factor (GCF) of 20846 and 20864 is 2.
GCF(20846,20864) = 2
We will now calculate the prime factors of 20846 and 20864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20846 and 20864.
How to find the GCF of 20846 and 20864?
We will first find the prime factorization of 20846 and 20864. After we will calculate the factors of 20846 and 20864 and find the biggest common factor number .
Step-1: Prime Factorization of 20846
Prime factors of 20846 are 2, 7, 1489. Prime factorization of 20846 in exponential form is:
20846 = 21 × 71 × 14891
Step-2: Prime Factorization of 20864
Prime factors of 20864 are 2, 163. Prime factorization of 20864 in exponential form is:
20864 = 27 × 1631
Step-3: Factors of 20846
List of positive integer factors of 20846 that divides 20846 without a remainder.
1, 2, 7, 14, 1489, 2978, 10423
Step-4: Factors of 20864
List of positive integer factors of 20864 that divides 20846 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 163, 326, 652, 1304, 2608, 5216, 10432
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20846 and 20864. The biggest common factor number is the GCF number.
So the greatest common factor 20846 and 20864 is 2.
Also check out the Least Common Multiple of 20846 and 20864
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