What is the Greatest Common Factor of 3910 and 3925?
Greatest common factor (GCF) of 3910 and 3925 is 5.
GCF(3910,3925) = 5
We will now calculate the prime factors of 3910 and 3925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3910 and 3925.
How to find the GCF of 3910 and 3925?
We will first find the prime factorization of 3910 and 3925. After we will calculate the factors of 3910 and 3925 and find the biggest common factor number .
Step-1: Prime Factorization of 3910
Prime factors of 3910 are 2, 5, 17, 23. Prime factorization of 3910 in exponential form is:
3910 = 21 × 51 × 171 × 231
Step-2: Prime Factorization of 3925
Prime factors of 3925 are 5, 157. Prime factorization of 3925 in exponential form is:
3925 = 52 × 1571
Step-3: Factors of 3910
List of positive integer factors of 3910 that divides 3910 without a remainder.
1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955
Step-4: Factors of 3925
List of positive integer factors of 3925 that divides 3910 without a remainder.
1, 5, 25, 157, 785
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3910 and 3925. The biggest common factor number is the GCF number.
So the greatest common factor 3910 and 3925 is 5.
Also check out the Least Common Multiple of 3910 and 3925
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