What is the Greatest Common Factor of 80920 and 80927?

Greatest common factor (GCF) of 80920 and 80927 is 7.

GCF(80920,80927) = 7

We will now calculate the prime factors of 80920 and 80927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80920 and 80927.

How to find the GCF of 80920 and 80927?

We will first find the prime factorization of 80920 and 80927. After we will calculate the factors of 80920 and 80927 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 80927

Prime factors of 80927 are 7, 11, 1051. Prime factorization of 80927 in exponential form is:

80927 = 7¹ × 11¹ × 1051¹

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 80927

List of positive integer factors of 80927 that divides 80920 without a remainder.

1, 7, 11, 77, 1051, 7357, 11561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80920 and 80927. The biggest common factor number is the GCF number.
So the greatest common factor 80920 and 80927 is 7.

Also check out the Least Common Multiple of 80920 and 80927