What is the Greatest Common Factor of 21125 and 21140?
Greatest common factor (GCF) of 21125 and 21140 is 5.
GCF(21125,21140) = 5
We will now calculate the prime factors of 21125 and 21140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21125 and 21140.
How to find the GCF of 21125 and 21140?
We will first find the prime factorization of 21125 and 21140. After we will calculate the factors of 21125 and 21140 and find the biggest common factor number .
Step-1: Prime Factorization of 21125
Prime factors of 21125 are 5, 13. Prime factorization of 21125 in exponential form is:
21125 = 53 × 132
Step-2: Prime Factorization of 21140
Prime factors of 21140 are 2, 5, 7, 151. Prime factorization of 21140 in exponential form is:
21140 = 22 × 51 × 71 × 1511
Step-3: Factors of 21125
List of positive integer factors of 21125 that divides 21125 without a remainder.
1, 5, 13, 25, 65, 125, 169, 325, 845, 1625, 4225
Step-4: Factors of 21140
List of positive integer factors of 21140 that divides 21125 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 151, 302, 604, 755, 1057, 1510, 2114, 3020, 4228, 5285, 10570
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21125 and 21140. The biggest common factor number is the GCF number.
So the greatest common factor 21125 and 21140 is 5.
Also check out the Least Common Multiple of 21125 and 21140
Related Greatest Common Factors of 21125
- GCF of 21125 and 21129
- GCF of 21125 and 21130
- GCF of 21125 and 21131
- GCF of 21125 and 21132
- GCF of 21125 and 21133
- GCF of 21125 and 21134
- GCF of 21125 and 21135
- GCF of 21125 and 21136
- GCF of 21125 and 21137
- GCF of 21125 and 21138
- GCF of 21125 and 21139
- GCF of 21125 and 21140
- GCF of 21125 and 21141
- GCF of 21125 and 21142
- GCF of 21125 and 21143
- GCF of 21125 and 21144
- GCF of 21125 and 21145
Related Greatest Common Factors of 21140
- GCF of 21140 and 21144
- GCF of 21140 and 21145
- GCF of 21140 and 21146
- GCF of 21140 and 21147
- GCF of 21140 and 21148
- GCF of 21140 and 21149
- GCF of 21140 and 21150
- GCF of 21140 and 21151
- GCF of 21140 and 21152
- GCF of 21140 and 21153
- GCF of 21140 and 21154
- GCF of 21140 and 21155
- GCF of 21140 and 21156
- GCF of 21140 and 21157
- GCF of 21140 and 21158
- GCF of 21140 and 21159
- GCF of 21140 and 21160