What is the Greatest Common Factor of 77280 and 77299?

Greatest common factor (GCF) of 77280 and 77299 is 1.

GCF(77280,77299) = 1

We will now calculate the prime factors of 77280 and 77299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77280 and 77299.

How to find the GCF of 77280 and 77299?

We will first find the prime factorization of 77280 and 77299. After we will calculate the factors of 77280 and 77299 and find the biggest common factor number .

Step-1: Prime Factorization of 77280

Prime factors of 77280 are 2, 3, 5, 7, 23. Prime factorization of 77280 in exponential form is:

77280 = 2⁵ × 3¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 77299

Prime factors of 77299 are 17, 4547. Prime factorization of 77299 in exponential form is:

77299 = 17¹ × 4547¹

Step-3: Factors of 77280

List of positive integer factors of 77280 that divides 77280 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 23, 24, 28, 30, 32, 35, 40, 42, 46, 48, 56, 60, 69, 70, 80, 84, 92, 96, 105, 112, 115, 120, 138, 140, 160, 161, 168, 184, 210, 224, 230, 240, 276, 280, 322, 336, 345, 368, 420, 460, 480, 483, 552, 560, 644, 672, 690, 736, 805, 840, 920, 966, 1104, 1120, 1288, 1380, 1610, 1680, 1840, 1932, 2208, 2415, 2576, 2760, 3220, 3360, 3680, 3864, 4830, 5152, 5520, 6440, 7728, 9660, 11040, 12880, 15456, 19320, 25760, 38640

Step-4: Factors of 77299

List of positive integer factors of 77299 that divides 77280 without a remainder.

1, 17, 4547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77280 and 77299. The biggest common factor number is the GCF number.
So the greatest common factor 77280 and 77299 is 1.

Also check out the Least Common Multiple of 77280 and 77299