What is the Greatest Common Factor of 35220 and 35232?
Greatest common factor (GCF) of 35220 and 35232 is 12.
GCF(35220,35232) = 12
We will now calculate the prime factors of 35220 and 35232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35220 and 35232.
How to find the GCF of 35220 and 35232?
We will first find the prime factorization of 35220 and 35232. After we will calculate the factors of 35220 and 35232 and find the biggest common factor number .
Step-1: Prime Factorization of 35220
Prime factors of 35220 are 2, 3, 5, 587. Prime factorization of 35220 in exponential form is:
35220 = 22 × 31 × 51 × 5871
Step-2: Prime Factorization of 35232
Prime factors of 35232 are 2, 3, 367. Prime factorization of 35232 in exponential form is:
35232 = 25 × 31 × 3671
Step-3: Factors of 35220
List of positive integer factors of 35220 that divides 35220 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 587, 1174, 1761, 2348, 2935, 3522, 5870, 7044, 8805, 11740, 17610
Step-4: Factors of 35232
List of positive integer factors of 35232 that divides 35220 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808, 11744, 17616
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35220 and 35232. The biggest common factor number is the GCF number.
So the greatest common factor 35220 and 35232 is 12.
Also check out the Least Common Multiple of 35220 and 35232
Related Greatest Common Factors of 35220
- GCF of 35220 and 35224
- GCF of 35220 and 35225
- GCF of 35220 and 35226
- GCF of 35220 and 35227
- GCF of 35220 and 35228
- GCF of 35220 and 35229
- GCF of 35220 and 35230
- GCF of 35220 and 35231
- GCF of 35220 and 35232
- GCF of 35220 and 35233
- GCF of 35220 and 35234
- GCF of 35220 and 35235
- GCF of 35220 and 35236
- GCF of 35220 and 35237
- GCF of 35220 and 35238
- GCF of 35220 and 35239
- GCF of 35220 and 35240
Related Greatest Common Factors of 35232
- GCF of 35232 and 35236
- GCF of 35232 and 35237
- GCF of 35232 and 35238
- GCF of 35232 and 35239
- GCF of 35232 and 35240
- GCF of 35232 and 35241
- GCF of 35232 and 35242
- GCF of 35232 and 35243
- GCF of 35232 and 35244
- GCF of 35232 and 35245
- GCF of 35232 and 35246
- GCF of 35232 and 35247
- GCF of 35232 and 35248
- GCF of 35232 and 35249
- GCF of 35232 and 35250
- GCF of 35232 and 35251
- GCF of 35232 and 35252