What is the Greatest Common Factor of 250 and 258?
Greatest common factor (GCF) of 250 and 258 is 2.
GCF(250,258) = 2
We will now calculate the prime factors of 250 and 258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 250 and 258.
How to find the GCF of 250 and 258?
We will first find the prime factorization of 250 and 258. After we will calculate the factors of 250 and 258 and find the biggest common factor number .
Step-1: Prime Factorization of 250
Prime factors of 250 are 2, 5. Prime factorization of 250 in exponential form is:
250 = 21 × 53
Step-2: Prime Factorization of 258
Prime factors of 258 are 2, 3, 43. Prime factorization of 258 in exponential form is:
258 = 21 × 31 × 431
Step-3: Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125
Step-4: Factors of 258
List of positive integer factors of 258 that divides 250 without a remainder.
1, 2, 3, 6, 43, 86, 129
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 250 and 258. The biggest common factor number is the GCF number.
So the greatest common factor 250 and 258 is 2.
Also check out the Least Common Multiple of 250 and 258
Related Greatest Common Factors of 250
- GCF of 250 and 254
- GCF of 250 and 255
- GCF of 250 and 256
- GCF of 250 and 257
- GCF of 250 and 258
- GCF of 250 and 259
- GCF of 250 and 260
- GCF of 250 and 261
- GCF of 250 and 262
- GCF of 250 and 263
- GCF of 250 and 264
- GCF of 250 and 265
- GCF of 250 and 266
- GCF of 250 and 267
- GCF of 250 and 268
- GCF of 250 and 269
- GCF of 250 and 270
Related Greatest Common Factors of 258
- GCF of 258 and 262
- GCF of 258 and 263
- GCF of 258 and 264
- GCF of 258 and 265
- GCF of 258 and 266
- GCF of 258 and 267
- GCF of 258 and 268
- GCF of 258 and 269
- GCF of 258 and 270
- GCF of 258 and 271
- GCF of 258 and 272
- GCF of 258 and 273
- GCF of 258 and 274
- GCF of 258 and 275
- GCF of 258 and 276
- GCF of 258 and 277
- GCF of 258 and 278