What is the Greatest Common Factor of 8204 and 8213?
Greatest common factor (GCF) of 8204 and 8213 is 1.
GCF(8204,8213) = 1
We will now calculate the prime factors of 8204 and 8213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8204 and 8213.
How to find the GCF of 8204 and 8213?
We will first find the prime factorization of 8204 and 8213. After we will calculate the factors of 8204 and 8213 and find the biggest common factor number .
Step-1: Prime Factorization of 8204
Prime factors of 8204 are 2, 7, 293. Prime factorization of 8204 in exponential form is:
8204 = 22 × 71 × 2931
Step-2: Prime Factorization of 8213
Prime factors of 8213 are 43, 191. Prime factorization of 8213 in exponential form is:
8213 = 431 × 1911
Step-3: Factors of 8204
List of positive integer factors of 8204 that divides 8204 without a remainder.
1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102
Step-4: Factors of 8213
List of positive integer factors of 8213 that divides 8204 without a remainder.
1, 43, 191
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8204 and 8213. The biggest common factor number is the GCF number.
So the greatest common factor 8204 and 8213 is 1.
Also check out the Least Common Multiple of 8204 and 8213
Related Greatest Common Factors of 8204
- GCF of 8204 and 8208
- GCF of 8204 and 8209
- GCF of 8204 and 8210
- GCF of 8204 and 8211
- GCF of 8204 and 8212
- GCF of 8204 and 8213
- GCF of 8204 and 8214
- GCF of 8204 and 8215
- GCF of 8204 and 8216
- GCF of 8204 and 8217
- GCF of 8204 and 8218
- GCF of 8204 and 8219
- GCF of 8204 and 8220
- GCF of 8204 and 8221
- GCF of 8204 and 8222
- GCF of 8204 and 8223
- GCF of 8204 and 8224
Related Greatest Common Factors of 8213
- GCF of 8213 and 8217
- GCF of 8213 and 8218
- GCF of 8213 and 8219
- GCF of 8213 and 8220
- GCF of 8213 and 8221
- GCF of 8213 and 8222
- GCF of 8213 and 8223
- GCF of 8213 and 8224
- GCF of 8213 and 8225
- GCF of 8213 and 8226
- GCF of 8213 and 8227
- GCF of 8213 and 8228
- GCF of 8213 and 8229
- GCF of 8213 and 8230
- GCF of 8213 and 8231
- GCF of 8213 and 8232
- GCF of 8213 and 8233