What is the Greatest Common Factor of 77040 and 77050?

Greatest common factor (GCF) of 77040 and 77050 is 10.

GCF(77040,77050) = 10

We will now calculate the prime factors of 77040 and 77050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77040 and 77050.

How to find the GCF of 77040 and 77050?

We will first find the prime factorization of 77040 and 77050. After we will calculate the factors of 77040 and 77050 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 77050

Prime factors of 77050 are 2, 5, 23, 67. Prime factorization of 77050 in exponential form is:

77050 = 2¹ × 5² × 23¹ × 67¹

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 77050

List of positive integer factors of 77050 that divides 77040 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 67, 115, 134, 230, 335, 575, 670, 1150, 1541, 1675, 3082, 3350, 7705, 15410, 38525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77040 and 77050. The biggest common factor number is the GCF number.
So the greatest common factor 77040 and 77050 is 10.

Also check out the Least Common Multiple of 77040 and 77050