What is the Greatest Common Factor of 81020 and 81034?

Greatest common factor (GCF) of 81020 and 81034 is 2.

GCF(81020,81034) = 2

We will now calculate the prime factors of 81020 and 81034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81020 and 81034.

How to find the GCF of 81020 and 81034?

We will first find the prime factorization of 81020 and 81034. After we will calculate the factors of 81020 and 81034 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 81034

Prime factors of 81034 are 2, 31, 1307. Prime factorization of 81034 in exponential form is:

81034 = 2¹ × 31¹ × 1307¹

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 81034

List of positive integer factors of 81034 that divides 81020 without a remainder.

1, 2, 31, 62, 1307, 2614, 40517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81020 and 81034. The biggest common factor number is the GCF number.
So the greatest common factor 81020 and 81034 is 2.

Also check out the Least Common Multiple of 81020 and 81034