What is the Greatest Common Factor of 79560 and 79575?

Greatest common factor (GCF) of 79560 and 79575 is 15.

GCF(79560,79575) = 15

We will now calculate the prime factors of 79560 and 79575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79560 and 79575.

How to find the GCF of 79560 and 79575?

We will first find the prime factorization of 79560 and 79575. After we will calculate the factors of 79560 and 79575 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79575

Prime factors of 79575 are 3, 5, 1061. Prime factorization of 79575 in exponential form is:

79575 = 3¹ × 5² × 1061¹

Step-3: Factors of 79560

List of positive integer factors of 79560 that divides 79560 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

Step-4: Factors of 79575

List of positive integer factors of 79575 that divides 79560 without a remainder.

1, 3, 5, 15, 25, 75, 1061, 3183, 5305, 15915, 26525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79560 and 79575. The biggest common factor number is the GCF number.
So the greatest common factor 79560 and 79575 is 15.

Also check out the Least Common Multiple of 79560 and 79575