What is the Greatest Common Factor of 79560 and 79570?

Greatest common factor (GCF) of 79560 and 79570 is 10.

GCF(79560,79570) = 10

We will now calculate the prime factors of 79560 and 79570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79560 and 79570.

How to find the GCF of 79560 and 79570?

We will first find the prime factorization of 79560 and 79570. After we will calculate the factors of 79560 and 79570 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 79570

Prime factors of 79570 are 2, 5, 73, 109. Prime factorization of 79570 in exponential form is:

79570 = 2¹ × 5¹ × 73¹ × 109¹

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 79570

List of positive integer factors of 79570 that divides 79560 without a remainder.

1, 2, 5, 10, 73, 109, 146, 218, 365, 545, 730, 1090, 7957, 15914, 39785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79560 and 79570. The biggest common factor number is the GCF number.
So the greatest common factor 79560 and 79570 is 10.

Also check out the Least Common Multiple of 79560 and 79570