What is the Greatest Common Factor of 10607 and 10625?

Greatest common factor (GCF) of 10607 and 10625 is 1.

GCF(10607,10625) = 1

We will now calculate the prime factors of 10607 and 10625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10607 and 10625.

How to find the GCF of 10607 and 10625?

We will first find the prime factorization of 10607 and 10625. After we will calculate the factors of 10607 and 10625 and find the biggest common factor number .

Step-1: Prime Factorization of 10607

Prime factors of 10607 are 10607. Prime factorization of 10607 in exponential form is:

10607 = 10607¹

Step-2: Prime Factorization of 10625

Prime factors of 10625 are 5, 17. Prime factorization of 10625 in exponential form is:

10625 = 5⁴ × 17¹

Step-3: Factors of 10607

List of positive integer factors of 10607 that divides 10607 without a remainder.

Step-4: Factors of 10625

List of positive integer factors of 10625 that divides 10607 without a remainder.

1, 5, 17, 25, 85, 125, 425, 625, 2125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10607 and 10625. The biggest common factor number is the GCF number.
So the greatest common factor 10607 and 10625 is 1.

Also check out the Least Common Multiple of 10607 and 10625