What is the Greatest Common Factor of 72164 and 72172?
Greatest common factor (GCF) of 72164 and 72172 is 4.
GCF(72164,72172) = 4
We will now calculate the prime factors of 72164 and 72172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72164 and 72172.
How to find the GCF of 72164 and 72172?
We will first find the prime factorization of 72164 and 72172. After we will calculate the factors of 72164 and 72172 and find the biggest common factor number .
Step-1: Prime Factorization of 72164
Prime factors of 72164 are 2, 18041. Prime factorization of 72164 in exponential form is:
72164 = 22 × 180411
Step-2: Prime Factorization of 72172
Prime factors of 72172 are 2, 18043. Prime factorization of 72172 in exponential form is:
72172 = 22 × 180431
Step-3: Factors of 72164
List of positive integer factors of 72164 that divides 72164 without a remainder.
1, 2, 4, 18041, 36082
Step-4: Factors of 72172
List of positive integer factors of 72172 that divides 72164 without a remainder.
1, 2, 4, 18043, 36086
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72164 and 72172. The biggest common factor number is the GCF number.
So the greatest common factor 72164 and 72172 is 4.
Also check out the Least Common Multiple of 72164 and 72172
Related Greatest Common Factors of 72164
- GCF of 72164 and 72168
- GCF of 72164 and 72169
- GCF of 72164 and 72170
- GCF of 72164 and 72171
- GCF of 72164 and 72172
- GCF of 72164 and 72173
- GCF of 72164 and 72174
- GCF of 72164 and 72175
- GCF of 72164 and 72176
- GCF of 72164 and 72177
- GCF of 72164 and 72178
- GCF of 72164 and 72179
- GCF of 72164 and 72180
- GCF of 72164 and 72181
- GCF of 72164 and 72182
- GCF of 72164 and 72183
- GCF of 72164 and 72184
Related Greatest Common Factors of 72172
- GCF of 72172 and 72176
- GCF of 72172 and 72177
- GCF of 72172 and 72178
- GCF of 72172 and 72179
- GCF of 72172 and 72180
- GCF of 72172 and 72181
- GCF of 72172 and 72182
- GCF of 72172 and 72183
- GCF of 72172 and 72184
- GCF of 72172 and 72185
- GCF of 72172 and 72186
- GCF of 72172 and 72187
- GCF of 72172 and 72188
- GCF of 72172 and 72189
- GCF of 72172 and 72190
- GCF of 72172 and 72191
- GCF of 72172 and 72192