What is the Greatest Common Factor of 80914 and 80920?

Greatest common factor (GCF) of 80914 and 80920 is 2.

GCF(80914,80920) = 2

We will now calculate the prime factors of 80914 and 80920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80914 and 80920.

How to find the GCF of 80914 and 80920?

We will first find the prime factorization of 80914 and 80920. After we will calculate the factors of 80914 and 80920 and find the biggest common factor number .

Step-1: Prime Factorization of 80914

Prime factors of 80914 are 2, 23, 1759. Prime factorization of 80914 in exponential form is:

80914 = 2¹ × 23¹ × 1759¹

Step-2: 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-3: Factors of 80914

List of positive integer factors of 80914 that divides 80914 without a remainder.

1, 2, 23, 46, 1759, 3518, 40457

Step-4: Factors of 80920

List of positive integer factors of 80920 that divides 80914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80914 and 80920. The biggest common factor number is the GCF number.
So the greatest common factor 80914 and 80920 is 2.

Also check out the Least Common Multiple of 80914 and 80920