What is the Greatest Common Factor of 8442 and 8451?

Greatest common factor (GCF) of 8442 and 8451 is 9.

GCF(8442,8451) = 9

We will now calculate the prime factors of 8442 and 8451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8442 and 8451.

How to find the GCF of 8442 and 8451?

We will first find the prime factorization of 8442 and 8451. After we will calculate the factors of 8442 and 8451 and find the biggest common factor number .

Step-1: Prime Factorization of 8442

Prime factors of 8442 are 2, 3, 7, 67. Prime factorization of 8442 in exponential form is:

8442 = 2¹ × 3² × 7¹ × 67¹

Step-2: Prime Factorization of 8451

Prime factors of 8451 are 3, 313. Prime factorization of 8451 in exponential form is:

8451 = 3³ × 313¹

Step-3: Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221

Step-4: Factors of 8451

List of positive integer factors of 8451 that divides 8442 without a remainder.

1, 3, 9, 27, 313, 939, 2817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8442 and 8451. The biggest common factor number is the GCF number.
So the greatest common factor 8442 and 8451 is 9.

Also check out the Least Common Multiple of 8442 and 8451