What is the Greatest Common Factor of 80014 and 80025?

Greatest common factor (GCF) of 80014 and 80025 is 11.

GCF(80014,80025) = 11

We will now calculate the prime factors of 80014 and 80025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80014 and 80025.

How to find the GCF of 80014 and 80025?

We will first find the prime factorization of 80014 and 80025. After we will calculate the factors of 80014 and 80025 and find the biggest common factor number .

Step-1: Prime Factorization of 80014

Prime factors of 80014 are 2, 11, 3637. Prime factorization of 80014 in exponential form is:

80014 = 2¹ × 11¹ × 3637¹

Step-2: Prime Factorization of 80025

Prime factors of 80025 are 3, 5, 11, 97. Prime factorization of 80025 in exponential form is:

80025 = 3¹ × 5² × 11¹ × 97¹

Step-3: Factors of 80014

List of positive integer factors of 80014 that divides 80014 without a remainder.

1, 2, 11, 22, 3637, 7274, 40007

Step-4: Factors of 80025

List of positive integer factors of 80025 that divides 80014 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067, 1455, 2425, 3201, 5335, 7275, 16005, 26675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80014 and 80025. The biggest common factor number is the GCF number.
So the greatest common factor 80014 and 80025 is 11.

Also check out the Least Common Multiple of 80014 and 80025