What is the Greatest Common Factor of 35125 and 35130?

Greatest common factor (GCF) of 35125 and 35130 is 5.

GCF(35125,35130) = 5

We will now calculate the prime factors of 35125 and 35130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35125 and 35130.

How to find the GCF of 35125 and 35130?

We will first find the prime factorization of 35125 and 35130. After we will calculate the factors of 35125 and 35130 and find the biggest common factor number .

Step-1: Prime Factorization of 35125

Prime factors of 35125 are 5, 281. Prime factorization of 35125 in exponential form is:

35125 = 5³ × 281¹

Step-2: Prime Factorization of 35130

Prime factors of 35130 are 2, 3, 5, 1171. Prime factorization of 35130 in exponential form is:

35130 = 2¹ × 3¹ × 5¹ × 1171¹

Step-3: Factors of 35125

List of positive integer factors of 35125 that divides 35125 without a remainder.

1, 5, 25, 125, 281, 1405, 7025

Step-4: Factors of 35130

List of positive integer factors of 35130 that divides 35125 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1171, 2342, 3513, 5855, 7026, 11710, 17565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35125 and 35130. The biggest common factor number is the GCF number.
So the greatest common factor 35125 and 35130 is 5.

Also check out the Least Common Multiple of 35125 and 35130