What is the Greatest Common Factor of 77040 and 77056?

Greatest common factor (GCF) of 77040 and 77056 is 16.

GCF(77040,77056) = 16

We will now calculate the prime factors of 77040 and 77056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77040 and 77056.

How to find the GCF of 77040 and 77056?

We will first find the prime factorization of 77040 and 77056. After we will calculate the factors of 77040 and 77056 and find the biggest common factor number .

Step-1: Prime Factorization of 77040

Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:

77040 = 2⁴ × 3² × 5¹ × 107¹

Step-2: Prime Factorization of 77056

Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:

77056 = 2⁸ × 7¹ × 43¹

Step-3: Factors of 77040

List of positive integer factors of 77040 that divides 77040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 107, 120, 144, 180, 214, 240, 321, 360, 428, 535, 642, 720, 856, 963, 1070, 1284, 1605, 1712, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 5136, 6420, 7704, 8560, 9630, 12840, 15408, 19260, 25680, 38520

Step-4: Factors of 77056

List of positive integer factors of 77056 that divides 77040 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 64, 86, 112, 128, 172, 224, 256, 301, 344, 448, 602, 688, 896, 1204, 1376, 1792, 2408, 2752, 4816, 5504, 9632, 11008, 19264, 38528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77040 and 77056. The biggest common factor number is the GCF number.
So the greatest common factor 77040 and 77056 is 16.

Also check out the Least Common Multiple of 77040 and 77056