What is the Greatest Common Factor of 71025 and 71034?

Greatest common factor (GCF) of 71025 and 71034 is 3.

GCF(71025,71034) = 3

We will now calculate the prime factors of 71025 and 71034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71025 and 71034.

How to find the GCF of 71025 and 71034?

We will first find the prime factorization of 71025 and 71034. After we will calculate the factors of 71025 and 71034 and find the biggest common factor number .

Step-1: Prime Factorization of 71025

Prime factors of 71025 are 3, 5, 947. Prime factorization of 71025 in exponential form is:

71025 = 3¹ × 5² × 947¹

Step-2: Prime Factorization of 71034

Prime factors of 71034 are 2, 3, 11839. Prime factorization of 71034 in exponential form is:

71034 = 2¹ × 3¹ × 11839¹

Step-3: Factors of 71025

List of positive integer factors of 71025 that divides 71025 without a remainder.

1, 3, 5, 15, 25, 75, 947, 2841, 4735, 14205, 23675

Step-4: Factors of 71034

List of positive integer factors of 71034 that divides 71025 without a remainder.

1, 2, 3, 6, 11839, 23678, 35517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71025 and 71034. The biggest common factor number is the GCF number.
So the greatest common factor 71025 and 71034 is 3.

Also check out the Least Common Multiple of 71025 and 71034