What is the Greatest Common Factor of 76025 and 76043?

Greatest common factor (GCF) of 76025 and 76043 is 1.

GCF(76025,76043) = 1

We will now calculate the prime factors of 76025 and 76043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76025 and 76043.

How to find the GCF of 76025 and 76043?

We will first find the prime factorization of 76025 and 76043. After we will calculate the factors of 76025 and 76043 and find the biggest common factor number .

Step-1: Prime Factorization of 76025

Prime factors of 76025 are 5, 3041. Prime factorization of 76025 in exponential form is:

76025 = 5² × 3041¹

Step-2: Prime Factorization of 76043

Prime factors of 76043 are 11, 31, 223. Prime factorization of 76043 in exponential form is:

76043 = 11¹ × 31¹ × 223¹

Step-3: Factors of 76025

List of positive integer factors of 76025 that divides 76025 without a remainder.

1, 5, 25, 3041, 15205

Step-4: Factors of 76043

List of positive integer factors of 76043 that divides 76025 without a remainder.

1, 11, 31, 223, 341, 2453, 6913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76025 and 76043. The biggest common factor number is the GCF number.
So the greatest common factor 76025 and 76043 is 1.

Also check out the Least Common Multiple of 76025 and 76043