What is the Greatest Common Factor of 80820 and 80825?

Greatest common factor (GCF) of 80820 and 80825 is 5.

GCF(80820,80825) = 5

We will now calculate the prime factors of 80820 and 80825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80820 and 80825.

How to find the GCF of 80820 and 80825?

We will first find the prime factorization of 80820 and 80825. After we will calculate the factors of 80820 and 80825 and find the biggest common factor number .

Step-1: Prime Factorization of 80820

Prime factors of 80820 are 2, 3, 5, 449. Prime factorization of 80820 in exponential form is:

80820 = 2² × 3² × 5¹ × 449¹

Step-2: Prime Factorization of 80825

Prime factors of 80825 are 5, 53, 61. Prime factorization of 80825 in exponential form is:

80825 = 5² × 53¹ × 61¹

Step-3: Factors of 80820

List of positive integer factors of 80820 that divides 80820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 449, 898, 1347, 1796, 2245, 2694, 4041, 4490, 5388, 6735, 8082, 8980, 13470, 16164, 20205, 26940, 40410

Step-4: Factors of 80825

List of positive integer factors of 80825 that divides 80820 without a remainder.

1, 5, 25, 53, 61, 265, 305, 1325, 1525, 3233, 16165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80820 and 80825. The biggest common factor number is the GCF number.
So the greatest common factor 80820 and 80825 is 5.

Also check out the Least Common Multiple of 80820 and 80825