What is the Greatest Common Factor of 84356 and 84376?

Greatest common factor (GCF) of 84356 and 84376 is 4.

GCF(84356,84376) = 4

We will now calculate the prime factors of 84356 and 84376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84356 and 84376.

How to find the GCF of 84356 and 84376?

We will first find the prime factorization of 84356 and 84376. After we will calculate the factors of 84356 and 84376 and find the biggest common factor number .

Step-1: Prime Factorization of 84356

Prime factors of 84356 are 2, 21089. Prime factorization of 84356 in exponential form is:

84356 = 2² × 21089¹

Step-2: Prime Factorization of 84376

Prime factors of 84376 are 2, 53, 199. Prime factorization of 84376 in exponential form is:

84376 = 2³ × 53¹ × 199¹

Step-3: Factors of 84356

List of positive integer factors of 84356 that divides 84356 without a remainder.

1, 2, 4, 21089, 42178

Step-4: Factors of 84376

List of positive integer factors of 84376 that divides 84356 without a remainder.

1, 2, 4, 8, 53, 106, 199, 212, 398, 424, 796, 1592, 10547, 21094, 42188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84356 and 84376. The biggest common factor number is the GCF number.
So the greatest common factor 84356 and 84376 is 4.

Also check out the Least Common Multiple of 84356 and 84376