What is the Greatest Common Factor of 79543 and 79560?

Greatest common factor (GCF) of 79543 and 79560 is 17.

GCF(79543,79560) = 17

We will now calculate the prime factors of 79543 and 79560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79543 and 79560.

How to find the GCF of 79543 and 79560?

We will first find the prime factorization of 79543 and 79560. After we will calculate the factors of 79543 and 79560 and find the biggest common factor number .

Step-1: Prime Factorization of 79543

Prime factors of 79543 are 17, 4679. Prime factorization of 79543 in exponential form is:

79543 = 17¹ × 4679¹

Step-2: Prime Factorization of 79560

Prime factors of 79560 are 2, 3, 5, 13, 17. Prime factorization of 79560 in exponential form is:

79560 = 2³ × 3² × 5¹ × 13¹ × 17¹

Step-3: Factors of 79543

List of positive integer factors of 79543 that divides 79543 without a remainder.

1, 17, 4679

Step-4: Factors of 79560

List of positive integer factors of 79560 that divides 79543 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 17, 18, 20, 24, 26, 30, 34, 36, 39, 40, 45, 51, 52, 60, 65, 68, 72, 78, 85, 90, 102, 104, 117, 120, 130, 136, 153, 156, 170, 180, 195, 204, 221, 234, 255, 260, 306, 312, 340, 360, 390, 408, 442, 468, 510, 520, 585, 612, 663, 680, 765, 780, 884, 936, 1020, 1105, 1170, 1224, 1326, 1530, 1560, 1768, 1989, 2040, 2210, 2340, 2652, 3060, 3315, 3978, 4420, 4680, 5304, 6120, 6630, 7956, 8840, 9945, 13260, 15912, 19890, 26520, 39780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79543 and 79560. The biggest common factor number is the GCF number.
So the greatest common factor 79543 and 79560 is 17.

Also check out the Least Common Multiple of 79543 and 79560