What is the Greatest Common Factor of 106 and 125?

Greatest common factor (GCF) of 106 and 125 is 1.

GCF(106,125) = 1

We will now calculate the prime factors of 106 and 125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 106 and 125.

How to find the GCF of 106 and 125?

We will first find the prime factorization of 106 and 125. After we will calculate the factors of 106 and 125 and find the biggest common factor number .

Step-1: Prime Factorization of 106

Prime factors of 106 are 2, 53. Prime factorization of 106 in exponential form is:

106 = 2¹ × 53¹

Step-2: Prime Factorization of 125

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 5³

Step-3: Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1, 2, 53

Step-4: Factors of 125

List of positive integer factors of 125 that divides 106 without a remainder.

1, 5, 25

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 106 and 125. The biggest common factor number is the GCF number.
So the greatest common factor 106 and 125 is 1.

Also check out the Least Common Multiple of 106 and 125