What is the Greatest Common Factor of 79547 and 79560?

Greatest common factor (GCF) of 79547 and 79560 is 13.

GCF(79547,79560) = 13

We will now calculate the prime factors of 79547 and 79560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79547 and 79560.

How to find the GCF of 79547 and 79560?

We will first find the prime factorization of 79547 and 79560. After we will calculate the factors of 79547 and 79560 and find the biggest common factor number .

Step-1: Prime Factorization of 79547

Prime factors of 79547 are 13, 29, 211. Prime factorization of 79547 in exponential form is:

79547 = 13¹ × 29¹ × 211¹

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 79547

List of positive integer factors of 79547 that divides 79547 without a remainder.

1, 13, 29, 211, 377, 2743, 6119

Step-4: Factors of 79560

List of positive integer factors of 79560 that divides 79547 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 79547 and 79560. The biggest common factor number is the GCF number.
So the greatest common factor 79547 and 79560 is 13.

Also check out the Least Common Multiple of 79547 and 79560