What is the Greatest Common Factor of 81005 and 81020?

Greatest common factor (GCF) of 81005 and 81020 is 5.

GCF(81005,81020) = 5

We will now calculate the prime factors of 81005 and 81020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81005 and 81020.

How to find the GCF of 81005 and 81020?

We will first find the prime factorization of 81005 and 81020. After we will calculate the factors of 81005 and 81020 and find the biggest common factor number .

Step-1: Prime Factorization of 81005

Prime factors of 81005 are 5, 17, 953. Prime factorization of 81005 in exponential form is:

81005 = 5¹ × 17¹ × 953¹

Step-2: Prime Factorization of 81020

Prime factors of 81020 are 2, 5, 4051. Prime factorization of 81020 in exponential form is:

81020 = 2² × 5¹ × 4051¹

Step-3: Factors of 81005

List of positive integer factors of 81005 that divides 81005 without a remainder.

1, 5, 17, 85, 953, 4765, 16201

Step-4: Factors of 81020

List of positive integer factors of 81020 that divides 81005 without a remainder.

1, 2, 4, 5, 10, 20, 4051, 8102, 16204, 20255, 40510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81005 and 81020. The biggest common factor number is the GCF number.
So the greatest common factor 81005 and 81020 is 5.

Also check out the Least Common Multiple of 81005 and 81020