What is the Greatest Common Factor of 69219 and 69225?
Greatest common factor (GCF) of 69219 and 69225 is 3.
GCF(69219,69225) = 3
We will now calculate the prime factors of 69219 and 69225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69219 and 69225.
How to find the GCF of 69219 and 69225?
We will first find the prime factorization of 69219 and 69225. After we will calculate the factors of 69219 and 69225 and find the biggest common factor number .
Step-1: Prime Factorization of 69219
Prime factors of 69219 are 3, 7691. Prime factorization of 69219 in exponential form is:
69219 = 32 × 76911
Step-2: Prime Factorization of 69225
Prime factors of 69225 are 3, 5, 13, 71. Prime factorization of 69225 in exponential form is:
69225 = 31 × 52 × 131 × 711
Step-3: Factors of 69219
List of positive integer factors of 69219 that divides 69219 without a remainder.
1, 3, 9, 7691, 23073
Step-4: Factors of 69225
List of positive integer factors of 69225 that divides 69219 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 71, 75, 195, 213, 325, 355, 923, 975, 1065, 1775, 2769, 4615, 5325, 13845, 23075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69219 and 69225. The biggest common factor number is the GCF number.
So the greatest common factor 69219 and 69225 is 3.
Also check out the Least Common Multiple of 69219 and 69225
Related Greatest Common Factors of 69219
- GCF of 69219 and 69223
- GCF of 69219 and 69224
- GCF of 69219 and 69225
- GCF of 69219 and 69226
- GCF of 69219 and 69227
- GCF of 69219 and 69228
- GCF of 69219 and 69229
- GCF of 69219 and 69230
- GCF of 69219 and 69231
- GCF of 69219 and 69232
- GCF of 69219 and 69233
- GCF of 69219 and 69234
- GCF of 69219 and 69235
- GCF of 69219 and 69236
- GCF of 69219 and 69237
- GCF of 69219 and 69238
- GCF of 69219 and 69239
Related Greatest Common Factors of 69225
- GCF of 69225 and 69229
- GCF of 69225 and 69230
- GCF of 69225 and 69231
- GCF of 69225 and 69232
- GCF of 69225 and 69233
- GCF of 69225 and 69234
- GCF of 69225 and 69235
- GCF of 69225 and 69236
- GCF of 69225 and 69237
- GCF of 69225 and 69238
- GCF of 69225 and 69239
- GCF of 69225 and 69240
- GCF of 69225 and 69241
- GCF of 69225 and 69242
- GCF of 69225 and 69243
- GCF of 69225 and 69244
- GCF of 69225 and 69245