What is the Greatest Common Factor of 81020 and 81028?

Greatest common factor (GCF) of 81020 and 81028 is 4.

GCF(81020,81028) = 4

We will now calculate the prime factors of 81020 and 81028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81020 and 81028.

How to find the GCF of 81020 and 81028?

We will first find the prime factorization of 81020 and 81028. After we will calculate the factors of 81020 and 81028 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 81028

Prime factors of 81028 are 2, 47, 431. Prime factorization of 81028 in exponential form is:

81028 = 2² × 47¹ × 431¹

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 81028

List of positive integer factors of 81028 that divides 81020 without a remainder.

1, 2, 4, 47, 94, 188, 431, 862, 1724, 20257, 40514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81020 and 81028. The biggest common factor number is the GCF number.
So the greatest common factor 81020 and 81028 is 4.

Also check out the Least Common Multiple of 81020 and 81028