What is the Greatest Common Factor of 79560 and 79567?

Greatest common factor (GCF) of 79560 and 79567 is 1.

GCF(79560,79567) = 1

We will now calculate the prime factors of 79560 and 79567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79560 and 79567.

How to find the GCF of 79560 and 79567?

We will first find the prime factorization of 79560 and 79567. After we will calculate the factors of 79560 and 79567 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 79567

Prime factors of 79567 are 251, 317. Prime factorization of 79567 in exponential form is:

79567 = 251¹ × 317¹

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 79567

List of positive integer factors of 79567 that divides 79560 without a remainder.

1, 251, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79560 and 79567. The biggest common factor number is the GCF number.
So the greatest common factor 79560 and 79567 is 1.

Also check out the Least Common Multiple of 79560 and 79567