What is the Greatest Common Factor of 81020 and 81026?

Greatest common factor (GCF) of 81020 and 81026 is 2.

GCF(81020,81026) = 2

We will now calculate the prime factors of 81020 and 81026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81020 and 81026.

How to find the GCF of 81020 and 81026?

We will first find the prime factorization of 81020 and 81026. After we will calculate the factors of 81020 and 81026 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81026

Prime factors of 81026 are 2, 11, 29, 127. Prime factorization of 81026 in exponential form is:

81026 = 2¹ × 11¹ × 29¹ × 127¹

Step-3: Factors of 81020

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

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

Step-4: Factors of 81026

List of positive integer factors of 81026 that divides 81020 without a remainder.

1, 2, 11, 22, 29, 58, 127, 254, 319, 638, 1397, 2794, 3683, 7366, 40513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81020 and 81026. The biggest common factor number is the GCF number.
So the greatest common factor 81020 and 81026 is 2.

Also check out the Least Common Multiple of 81020 and 81026