What is the Greatest Common Factor of 80920 and 80930?

Greatest common factor (GCF) of 80920 and 80930 is 10.

GCF(80920,80930) = 10

We will now calculate the prime factors of 80920 and 80930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80920 and 80930.

How to find the GCF of 80920 and 80930?

We will first find the prime factorization of 80920 and 80930. After we will calculate the factors of 80920 and 80930 and find the biggest common factor number .

Step-1: Prime Factorization of 80920

Prime factors of 80920 are 2, 5, 7, 17. Prime factorization of 80920 in exponential form is:

80920 = 2³ × 5¹ × 7¹ × 17²

Step-2: Prime Factorization of 80930

Prime factors of 80930 are 2, 5, 8093. Prime factorization of 80930 in exponential form is:

80930 = 2¹ × 5¹ × 8093¹

Step-3: Factors of 80920

List of positive integer factors of 80920 that divides 80920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 289, 340, 476, 578, 595, 680, 952, 1156, 1190, 1445, 2023, 2312, 2380, 2890, 4046, 4760, 5780, 8092, 10115, 11560, 16184, 20230, 40460

Step-4: Factors of 80930

List of positive integer factors of 80930 that divides 80920 without a remainder.

1, 2, 5, 10, 8093, 16186, 40465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80920 and 80930. The biggest common factor number is the GCF number.
So the greatest common factor 80920 and 80930 is 10.

Also check out the Least Common Multiple of 80920 and 80930