What is the Greatest Common Factor of 69195 and 69200?
Greatest common factor (GCF) of 69195 and 69200 is 5.
GCF(69195,69200) = 5
We will now calculate the prime factors of 69195 and 69200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69195 and 69200.
How to find the GCF of 69195 and 69200?
We will first find the prime factorization of 69195 and 69200. After we will calculate the factors of 69195 and 69200 and find the biggest common factor number .
Step-1: Prime Factorization of 69195
Prime factors of 69195 are 3, 5, 7, 659. Prime factorization of 69195 in exponential form is:
69195 = 31 × 51 × 71 × 6591
Step-2: Prime Factorization of 69200
Prime factors of 69200 are 2, 5, 173. Prime factorization of 69200 in exponential form is:
69200 = 24 × 52 × 1731
Step-3: Factors of 69195
List of positive integer factors of 69195 that divides 69195 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 659, 1977, 3295, 4613, 9885, 13839, 23065
Step-4: Factors of 69200
List of positive integer factors of 69200 that divides 69195 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 173, 200, 346, 400, 692, 865, 1384, 1730, 2768, 3460, 4325, 6920, 8650, 13840, 17300, 34600
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69195 and 69200. The biggest common factor number is the GCF number.
So the greatest common factor 69195 and 69200 is 5.
Also check out the Least Common Multiple of 69195 and 69200
Related Greatest Common Factors of 69195
- GCF of 69195 and 69199
- GCF of 69195 and 69200
- GCF of 69195 and 69201
- GCF of 69195 and 69202
- GCF of 69195 and 69203
- GCF of 69195 and 69204
- GCF of 69195 and 69205
- GCF of 69195 and 69206
- GCF of 69195 and 69207
- GCF of 69195 and 69208
- GCF of 69195 and 69209
- GCF of 69195 and 69210
- GCF of 69195 and 69211
- GCF of 69195 and 69212
- GCF of 69195 and 69213
- GCF of 69195 and 69214
- GCF of 69195 and 69215
Related Greatest Common Factors of 69200
- GCF of 69200 and 69204
- GCF of 69200 and 69205
- GCF of 69200 and 69206
- GCF of 69200 and 69207
- GCF of 69200 and 69208
- GCF of 69200 and 69209
- GCF of 69200 and 69210
- GCF of 69200 and 69211
- GCF of 69200 and 69212
- GCF of 69200 and 69213
- GCF of 69200 and 69214
- GCF of 69200 and 69215
- GCF of 69200 and 69216
- GCF of 69200 and 69217
- GCF of 69200 and 69218
- GCF of 69200 and 69219
- GCF of 69200 and 69220