What is the Greatest Common Factor of 76446 and 76455?

Greatest common factor (GCF) of 76446 and 76455 is 9.

GCF(76446,76455) = 9

We will now calculate the prime factors of 76446 and 76455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76446 and 76455.

How to find the GCF of 76446 and 76455?

We will first find the prime factorization of 76446 and 76455. After we will calculate the factors of 76446 and 76455 and find the biggest common factor number .

Step-1: Prime Factorization of 76446

Prime factors of 76446 are 2, 3, 31, 137. Prime factorization of 76446 in exponential form is:

76446 = 2¹ × 3² × 31¹ × 137¹

Step-2: Prime Factorization of 76455

Prime factors of 76455 are 3, 5, 1699. Prime factorization of 76455 in exponential form is:

76455 = 3² × 5¹ × 1699¹

Step-3: Factors of 76446

List of positive integer factors of 76446 that divides 76446 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 137, 186, 274, 279, 411, 558, 822, 1233, 2466, 4247, 8494, 12741, 25482, 38223

Step-4: Factors of 76455

List of positive integer factors of 76455 that divides 76446 without a remainder.

1, 3, 5, 9, 15, 45, 1699, 5097, 8495, 15291, 25485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76446 and 76455. The biggest common factor number is the GCF number.
So the greatest common factor 76446 and 76455 is 9.

Also check out the Least Common Multiple of 76446 and 76455