What is the Greatest Common Factor of 64300 and 64320?
Greatest common factor (GCF) of 64300 and 64320 is 20.
GCF(64300,64320) = 20
We will now calculate the prime factors of 64300 and 64320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64300 and 64320.
How to find the GCF of 64300 and 64320?
We will first find the prime factorization of 64300 and 64320. After we will calculate the factors of 64300 and 64320 and find the biggest common factor number .
Step-1: Prime Factorization of 64300
Prime factors of 64300 are 2, 5, 643. Prime factorization of 64300 in exponential form is:
64300 = 22 × 52 × 6431
Step-2: Prime Factorization of 64320
Prime factors of 64320 are 2, 3, 5, 67. Prime factorization of 64320 in exponential form is:
64320 = 26 × 31 × 51 × 671
Step-3: Factors of 64300
List of positive integer factors of 64300 that divides 64300 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 643, 1286, 2572, 3215, 6430, 12860, 16075, 32150
Step-4: Factors of 64320
List of positive integer factors of 64320 that divides 64300 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 67, 80, 96, 120, 134, 160, 192, 201, 240, 268, 320, 335, 402, 480, 536, 670, 804, 960, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 4288, 5360, 6432, 8040, 10720, 12864, 16080, 21440, 32160
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64300 and 64320. The biggest common factor number is the GCF number.
So the greatest common factor 64300 and 64320 is 20.
Also check out the Least Common Multiple of 64300 and 64320
Related Greatest Common Factors of 64300
- GCF of 64300 and 64304
- GCF of 64300 and 64305
- GCF of 64300 and 64306
- GCF of 64300 and 64307
- GCF of 64300 and 64308
- GCF of 64300 and 64309
- GCF of 64300 and 64310
- GCF of 64300 and 64311
- GCF of 64300 and 64312
- GCF of 64300 and 64313
- GCF of 64300 and 64314
- GCF of 64300 and 64315
- GCF of 64300 and 64316
- GCF of 64300 and 64317
- GCF of 64300 and 64318
- GCF of 64300 and 64319
- GCF of 64300 and 64320
Related Greatest Common Factors of 64320
- GCF of 64320 and 64324
- GCF of 64320 and 64325
- GCF of 64320 and 64326
- GCF of 64320 and 64327
- GCF of 64320 and 64328
- GCF of 64320 and 64329
- GCF of 64320 and 64330
- GCF of 64320 and 64331
- GCF of 64320 and 64332
- GCF of 64320 and 64333
- GCF of 64320 and 64334
- GCF of 64320 and 64335
- GCF of 64320 and 64336
- GCF of 64320 and 64337
- GCF of 64320 and 64338
- GCF of 64320 and 64339
- GCF of 64320 and 64340