What is the Greatest Common Factor of 26120 and 26125?
Greatest common factor (GCF) of 26120 and 26125 is 5.
GCF(26120,26125) = 5
We will now calculate the prime factors of 26120 and 26125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26120 and 26125.
How to find the GCF of 26120 and 26125?
We will first find the prime factorization of 26120 and 26125. After we will calculate the factors of 26120 and 26125 and find the biggest common factor number .
Step-1: Prime Factorization of 26120
Prime factors of 26120 are 2, 5, 653. Prime factorization of 26120 in exponential form is:
26120 = 23 × 51 × 6531
Step-2: Prime Factorization of 26125
Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:
26125 = 53 × 111 × 191
Step-3: Factors of 26120
List of positive integer factors of 26120 that divides 26120 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 653, 1306, 2612, 3265, 5224, 6530, 13060
Step-4: Factors of 26125
List of positive integer factors of 26125 that divides 26120 without a remainder.
1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26120 and 26125. The biggest common factor number is the GCF number.
So the greatest common factor 26120 and 26125 is 5.
Also check out the Least Common Multiple of 26120 and 26125
Related Greatest Common Factors of 26120
- GCF of 26120 and 26124
- GCF of 26120 and 26125
- GCF of 26120 and 26126
- GCF of 26120 and 26127
- GCF of 26120 and 26128
- GCF of 26120 and 26129
- GCF of 26120 and 26130
- GCF of 26120 and 26131
- GCF of 26120 and 26132
- GCF of 26120 and 26133
- GCF of 26120 and 26134
- GCF of 26120 and 26135
- GCF of 26120 and 26136
- GCF of 26120 and 26137
- GCF of 26120 and 26138
- GCF of 26120 and 26139
- GCF of 26120 and 26140
Related Greatest Common Factors of 26125
- GCF of 26125 and 26129
- GCF of 26125 and 26130
- GCF of 26125 and 26131
- GCF of 26125 and 26132
- GCF of 26125 and 26133
- GCF of 26125 and 26134
- GCF of 26125 and 26135
- GCF of 26125 and 26136
- GCF of 26125 and 26137
- GCF of 26125 and 26138
- GCF of 26125 and 26139
- GCF of 26125 and 26140
- GCF of 26125 and 26141
- GCF of 26125 and 26142
- GCF of 26125 and 26143
- GCF of 26125 and 26144
- GCF of 26125 and 26145