What is the Greatest Common Factor of 25050 and 25065?
Greatest common factor (GCF) of 25050 and 25065 is 15.
GCF(25050,25065) = 15
We will now calculate the prime factors of 25050 and 25065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25050 and 25065.
How to find the GCF of 25050 and 25065?
We will first find the prime factorization of 25050 and 25065. After we will calculate the factors of 25050 and 25065 and find the biggest common factor number .
Step-1: Prime Factorization of 25050
Prime factors of 25050 are 2, 3, 5, 167. Prime factorization of 25050 in exponential form is:
25050 = 21 × 31 × 52 × 1671
Step-2: Prime Factorization of 25065
Prime factors of 25065 are 3, 5, 557. Prime factorization of 25065 in exponential form is:
25065 = 32 × 51 × 5571
Step-3: Factors of 25050
List of positive integer factors of 25050 that divides 25050 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 167, 334, 501, 835, 1002, 1670, 2505, 4175, 5010, 8350, 12525
Step-4: Factors of 25065
List of positive integer factors of 25065 that divides 25050 without a remainder.
1, 3, 5, 9, 15, 45, 557, 1671, 2785, 5013, 8355
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25050 and 25065. The biggest common factor number is the GCF number.
So the greatest common factor 25050 and 25065 is 15.
Also check out the Least Common Multiple of 25050 and 25065
Related Greatest Common Factors of 25050
- GCF of 25050 and 25054
- GCF of 25050 and 25055
- GCF of 25050 and 25056
- GCF of 25050 and 25057
- GCF of 25050 and 25058
- GCF of 25050 and 25059
- GCF of 25050 and 25060
- GCF of 25050 and 25061
- GCF of 25050 and 25062
- GCF of 25050 and 25063
- GCF of 25050 and 25064
- GCF of 25050 and 25065
- GCF of 25050 and 25066
- GCF of 25050 and 25067
- GCF of 25050 and 25068
- GCF of 25050 and 25069
- GCF of 25050 and 25070
Related Greatest Common Factors of 25065
- GCF of 25065 and 25069
- GCF of 25065 and 25070
- GCF of 25065 and 25071
- GCF of 25065 and 25072
- GCF of 25065 and 25073
- GCF of 25065 and 25074
- GCF of 25065 and 25075
- GCF of 25065 and 25076
- GCF of 25065 and 25077
- GCF of 25065 and 25078
- GCF of 25065 and 25079
- GCF of 25065 and 25080
- GCF of 25065 and 25081
- GCF of 25065 and 25082
- GCF of 25065 and 25083
- GCF of 25065 and 25084
- GCF of 25065 and 25085