What is the Greatest Common Factor of 84633 and 84642?

Greatest common factor (GCF) of 84633 and 84642 is 3.

GCF(84633,84642) = 3

We will now calculate the prime factors of 84633 and 84642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84633 and 84642.

How to find the GCF of 84633 and 84642?

We will first find the prime factorization of 84633 and 84642. After we will calculate the factors of 84633 and 84642 and find the biggest common factor number .

Step-1: Prime Factorization of 84633

Prime factors of 84633 are 3, 28211. Prime factorization of 84633 in exponential form is:

84633 = 3¹ × 28211¹

Step-2: Prime Factorization of 84642

Prime factors of 84642 are 2, 3, 14107. Prime factorization of 84642 in exponential form is:

84642 = 2¹ × 3¹ × 14107¹

Step-3: Factors of 84633

List of positive integer factors of 84633 that divides 84633 without a remainder.

1, 3, 28211

Step-4: Factors of 84642

List of positive integer factors of 84642 that divides 84633 without a remainder.

1, 2, 3, 6, 14107, 28214, 42321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84633 and 84642. The biggest common factor number is the GCF number.
So the greatest common factor 84633 and 84642 is 3.

Also check out the Least Common Multiple of 84633 and 84642