What is the Greatest Common Factor of 55075 and 55080?
Greatest common factor (GCF) of 55075 and 55080 is 5.
GCF(55075,55080) = 5
We will now calculate the prime factors of 55075 and 55080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55075 and 55080.
How to find the GCF of 55075 and 55080?
We will first find the prime factorization of 55075 and 55080. After we will calculate the factors of 55075 and 55080 and find the biggest common factor number .
Step-1: Prime Factorization of 55075
Prime factors of 55075 are 5, 2203. Prime factorization of 55075 in exponential form is:
55075 = 52 × 22031
Step-2: Prime Factorization of 55080
Prime factors of 55080 are 2, 3, 5, 17. Prime factorization of 55080 in exponential form is:
55080 = 23 × 34 × 51 × 171
Step-3: Factors of 55075
List of positive integer factors of 55075 that divides 55075 without a remainder.
1, 5, 25, 2203, 11015
Step-4: Factors of 55080
List of positive integer factors of 55080 that divides 55075 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 81, 85, 90, 102, 108, 120, 135, 136, 153, 162, 170, 180, 204, 216, 255, 270, 306, 324, 340, 360, 405, 408, 459, 510, 540, 612, 648, 680, 765, 810, 918, 1020, 1080, 1224, 1377, 1530, 1620, 1836, 2040, 2295, 2754, 3060, 3240, 3672, 4590, 5508, 6120, 6885, 9180, 11016, 13770, 18360, 27540
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55075 and 55080. The biggest common factor number is the GCF number.
So the greatest common factor 55075 and 55080 is 5.
Also check out the Least Common Multiple of 55075 and 55080
Related Greatest Common Factors of 55075
- GCF of 55075 and 55079
- GCF of 55075 and 55080
- GCF of 55075 and 55081
- GCF of 55075 and 55082
- GCF of 55075 and 55083
- GCF of 55075 and 55084
- GCF of 55075 and 55085
- GCF of 55075 and 55086
- GCF of 55075 and 55087
- GCF of 55075 and 55088
- GCF of 55075 and 55089
- GCF of 55075 and 55090
- GCF of 55075 and 55091
- GCF of 55075 and 55092
- GCF of 55075 and 55093
- GCF of 55075 and 55094
- GCF of 55075 and 55095
Related Greatest Common Factors of 55080
- GCF of 55080 and 55084
- GCF of 55080 and 55085
- GCF of 55080 and 55086
- GCF of 55080 and 55087
- GCF of 55080 and 55088
- GCF of 55080 and 55089
- GCF of 55080 and 55090
- GCF of 55080 and 55091
- GCF of 55080 and 55092
- GCF of 55080 and 55093
- GCF of 55080 and 55094
- GCF of 55080 and 55095
- GCF of 55080 and 55096
- GCF of 55080 and 55097
- GCF of 55080 and 55098
- GCF of 55080 and 55099
- GCF of 55080 and 55100