What is the Greatest Common Factor of 77276 and 77280?

Greatest common factor (GCF) of 77276 and 77280 is 4.

GCF(77276,77280) = 4

We will now calculate the prime factors of 77276 and 77280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77276 and 77280.

How to find the GCF of 77276 and 77280?

We will first find the prime factorization of 77276 and 77280. After we will calculate the factors of 77276 and 77280 and find the biggest common factor number .

Step-1: Prime Factorization of 77276

Prime factors of 77276 are 2, 19319. Prime factorization of 77276 in exponential form is:

77276 = 2² × 19319¹

Step-2: 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-3: Factors of 77276

List of positive integer factors of 77276 that divides 77276 without a remainder.

1, 2, 4, 19319, 38638

Step-4: Factors of 77280

List of positive integer factors of 77280 that divides 77276 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77276 and 77280. The biggest common factor number is the GCF number.
So the greatest common factor 77276 and 77280 is 4.

Also check out the Least Common Multiple of 77276 and 77280