What is the Greatest Common Factor of 79560 and 79577?

Greatest common factor (GCF) of 79560 and 79577 is 17.

GCF(79560,79577) = 17

We will now calculate the prime factors of 79560 and 79577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79560 and 79577.

How to find the GCF of 79560 and 79577?

We will first find the prime factorization of 79560 and 79577. After we will calculate the factors of 79560 and 79577 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 79577

Prime factors of 79577 are 17, 31, 151. Prime factorization of 79577 in exponential form is:

79577 = 17¹ × 31¹ × 151¹

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 79577

List of positive integer factors of 79577 that divides 79560 without a remainder.

1, 17, 31, 151, 527, 2567, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79560 and 79577. The biggest common factor number is the GCF number.
So the greatest common factor 79560 and 79577 is 17.

Also check out the Least Common Multiple of 79560 and 79577