What is the Greatest Common Factor of 80920 and 80934?

Greatest common factor (GCF) of 80920 and 80934 is 14.

GCF(80920,80934) = 14

We will now calculate the prime factors of 80920 and 80934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80920 and 80934.

How to find the GCF of 80920 and 80934?

We will first find the prime factorization of 80920 and 80934. After we will calculate the factors of 80920 and 80934 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 80934

Prime factors of 80934 are 2, 3, 7, 41, 47. Prime factorization of 80934 in exponential form is:

80934 = 2¹ × 3¹ × 7¹ × 41¹ × 47¹

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 80934

List of positive integer factors of 80934 that divides 80920 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 47, 82, 94, 123, 141, 246, 282, 287, 329, 574, 658, 861, 987, 1722, 1927, 1974, 3854, 5781, 11562, 13489, 26978, 40467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80920 and 80934. The biggest common factor number is the GCF number.
So the greatest common factor 80920 and 80934 is 14.

Also check out the Least Common Multiple of 80920 and 80934