What is the Greatest Common Factor of 79560 and 79564?

Greatest common factor (GCF) of 79560 and 79564 is 4.

GCF(79560,79564) = 4

We will now calculate the prime factors of 79560 and 79564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79560 and 79564.

How to find the GCF of 79560 and 79564?

We will first find the prime factorization of 79560 and 79564. After we will calculate the factors of 79560 and 79564 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 79564

Prime factors of 79564 are 2, 19891. Prime factorization of 79564 in exponential form is:

79564 = 2² × 19891¹

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 79564

List of positive integer factors of 79564 that divides 79560 without a remainder.

1, 2, 4, 19891, 39782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79560 and 79564. The biggest common factor number is the GCF number.
So the greatest common factor 79560 and 79564 is 4.

Also check out the Least Common Multiple of 79560 and 79564