What is the Greatest Common Factor of 79552 and 79560?

Greatest common factor (GCF) of 79552 and 79560 is 8.

GCF(79552,79560) = 8

We will now calculate the prime factors of 79552 and 79560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79552 and 79560.

How to find the GCF of 79552 and 79560?

We will first find the prime factorization of 79552 and 79560. After we will calculate the factors of 79552 and 79560 and find the biggest common factor number .

Step-1: Prime Factorization of 79552

Prime factors of 79552 are 2, 11, 113. Prime factorization of 79552 in exponential form is:

79552 = 2⁶ × 11¹ × 113¹

Step-2: 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-3: Factors of 79552

List of positive integer factors of 79552 that divides 79552 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 113, 176, 226, 352, 452, 704, 904, 1243, 1808, 2486, 3616, 4972, 7232, 9944, 19888, 39776

Step-4: Factors of 79560

List of positive integer factors of 79560 that divides 79552 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79552 and 79560. The biggest common factor number is the GCF number.
So the greatest common factor 79552 and 79560 is 8.

Also check out the Least Common Multiple of 79552 and 79560