What is the Greatest Common Factor of 77024 and 77040?

Greatest common factor (GCF) of 77024 and 77040 is 16.

GCF(77024,77040) = 16

We will now calculate the prime factors of 77024 and 77040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77024 and 77040.

How to find the GCF of 77024 and 77040?

We will first find the prime factorization of 77024 and 77040. After we will calculate the factors of 77024 and 77040 and find the biggest common factor number .

Step-1: Prime Factorization of 77024

Prime factors of 77024 are 2, 29, 83. Prime factorization of 77024 in exponential form is:

77024 = 2⁵ × 29¹ × 83¹

Step-2: 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-3: Factors of 77024

List of positive integer factors of 77024 that divides 77024 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 83, 116, 166, 232, 332, 464, 664, 928, 1328, 2407, 2656, 4814, 9628, 19256, 38512

Step-4: Factors of 77040

List of positive integer factors of 77040 that divides 77024 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77024 and 77040. The biggest common factor number is the GCF number.
So the greatest common factor 77024 and 77040 is 16.

Also check out the Least Common Multiple of 77024 and 77040