What is the Greatest Common Factor of 77025 and 77040?

Greatest common factor (GCF) of 77025 and 77040 is 15.

GCF(77025,77040) = 15

We will now calculate the prime factors of 77025 and 77040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77040.

How to find the GCF of 77025 and 77040?

We will first find the prime factorization of 77025 and 77040. After we will calculate the factors of 77025 and 77040 and find the biggest common factor number .

Step-1: Prime Factorization of 77025

Prime factors of 77025 are 3, 5, 13, 79. Prime factorization of 77025 in exponential form is:

77025 = 3¹ × 5² × 13¹ × 79¹

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 77025

List of positive integer factors of 77025 that divides 77025 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 79, 195, 237, 325, 395, 975, 1027, 1185, 1975, 3081, 5135, 5925, 15405, 25675

Step-4: Factors of 77040

List of positive integer factors of 77040 that divides 77025 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 77025 and 77040. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77040 is 15.

Also check out the Least Common Multiple of 77025 and 77040