What is the Greatest Common Factor of 32348 and 32352?
Greatest common factor (GCF) of 32348 and 32352 is 4.
GCF(32348,32352) = 4
We will now calculate the prime factors of 32348 and 32352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32348 and 32352.
How to find the GCF of 32348 and 32352?
We will first find the prime factorization of 32348 and 32352. After we will calculate the factors of 32348 and 32352 and find the biggest common factor number .
Step-1: Prime Factorization of 32348
Prime factors of 32348 are 2, 8087. Prime factorization of 32348 in exponential form is:
32348 = 22 × 80871
Step-2: Prime Factorization of 32352
Prime factors of 32352 are 2, 3, 337. Prime factorization of 32352 in exponential form is:
32352 = 25 × 31 × 3371
Step-3: Factors of 32348
List of positive integer factors of 32348 that divides 32348 without a remainder.
1, 2, 4, 8087, 16174
Step-4: Factors of 32352
List of positive integer factors of 32352 that divides 32348 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088, 10784, 16176
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32348 and 32352. The biggest common factor number is the GCF number.
So the greatest common factor 32348 and 32352 is 4.
Also check out the Least Common Multiple of 32348 and 32352
Related Greatest Common Factors of 32348
- GCF of 32348 and 32352
- GCF of 32348 and 32353
- GCF of 32348 and 32354
- GCF of 32348 and 32355
- GCF of 32348 and 32356
- GCF of 32348 and 32357
- GCF of 32348 and 32358
- GCF of 32348 and 32359
- GCF of 32348 and 32360
- GCF of 32348 and 32361
- GCF of 32348 and 32362
- GCF of 32348 and 32363
- GCF of 32348 and 32364
- GCF of 32348 and 32365
- GCF of 32348 and 32366
- GCF of 32348 and 32367
- GCF of 32348 and 32368
Related Greatest Common Factors of 32352
- GCF of 32352 and 32356
- GCF of 32352 and 32357
- GCF of 32352 and 32358
- GCF of 32352 and 32359
- GCF of 32352 and 32360
- GCF of 32352 and 32361
- GCF of 32352 and 32362
- GCF of 32352 and 32363
- GCF of 32352 and 32364
- GCF of 32352 and 32365
- GCF of 32352 and 32366
- GCF of 32352 and 32367
- GCF of 32352 and 32368
- GCF of 32352 and 32369
- GCF of 32352 and 32370
- GCF of 32352 and 32371
- GCF of 32352 and 32372