What is the Greatest Common Factor of 25996 and 26012?
Greatest common factor (GCF) of 25996 and 26012 is 4.
GCF(25996,26012) = 4
We will now calculate the prime factors of 25996 and 26012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25996 and 26012.
How to find the GCF of 25996 and 26012?
We will first find the prime factorization of 25996 and 26012. After we will calculate the factors of 25996 and 26012 and find the biggest common factor number .
Step-1: Prime Factorization of 25996
Prime factors of 25996 are 2, 67, 97. Prime factorization of 25996 in exponential form is:
25996 = 22 × 671 × 971
Step-2: Prime Factorization of 26012
Prime factors of 26012 are 2, 7, 929. Prime factorization of 26012 in exponential form is:
26012 = 22 × 71 × 9291
Step-3: Factors of 25996
List of positive integer factors of 25996 that divides 25996 without a remainder.
1, 2, 4, 67, 97, 134, 194, 268, 388, 6499, 12998
Step-4: Factors of 26012
List of positive integer factors of 26012 that divides 25996 without a remainder.
1, 2, 4, 7, 14, 28, 929, 1858, 3716, 6503, 13006
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25996 and 26012. The biggest common factor number is the GCF number.
So the greatest common factor 25996 and 26012 is 4.
Also check out the Least Common Multiple of 25996 and 26012
Related Greatest Common Factors of 25996
- GCF of 25996 and 26000
- GCF of 25996 and 26001
- GCF of 25996 and 26002
- GCF of 25996 and 26003
- GCF of 25996 and 26004
- GCF of 25996 and 26005
- GCF of 25996 and 26006
- GCF of 25996 and 26007
- GCF of 25996 and 26008
- GCF of 25996 and 26009
- GCF of 25996 and 26010
- GCF of 25996 and 26011
- GCF of 25996 and 26012
- GCF of 25996 and 26013
- GCF of 25996 and 26014
- GCF of 25996 and 26015
- GCF of 25996 and 26016
Related Greatest Common Factors of 26012
- GCF of 26012 and 26016
- GCF of 26012 and 26017
- GCF of 26012 and 26018
- GCF of 26012 and 26019
- GCF of 26012 and 26020
- GCF of 26012 and 26021
- GCF of 26012 and 26022
- GCF of 26012 and 26023
- GCF of 26012 and 26024
- GCF of 26012 and 26025
- GCF of 26012 and 26026
- GCF of 26012 and 26027
- GCF of 26012 and 26028
- GCF of 26012 and 26029
- GCF of 26012 and 26030
- GCF of 26012 and 26031
- GCF of 26012 and 26032