What is the Greatest Common Factor of 84736 and 84749?

Greatest common factor (GCF) of 84736 and 84749 is 1.

GCF(84736,84749) = 1

We will now calculate the prime factors of 84736 and 84749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84736 and 84749.

How to find the GCF of 84736 and 84749?

We will first find the prime factorization of 84736 and 84749. After we will calculate the factors of 84736 and 84749 and find the biggest common factor number .

Step-1: Prime Factorization of 84736

Prime factors of 84736 are 2, 331. Prime factorization of 84736 in exponential form is:

84736 = 2⁸ × 331¹

Step-2: Prime Factorization of 84749

Prime factors of 84749 are 7, 12107. Prime factorization of 84749 in exponential form is:

84749 = 7¹ × 12107¹

Step-3: Factors of 84736

List of positive integer factors of 84736 that divides 84736 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 331, 662, 1324, 2648, 5296, 10592, 21184, 42368

Step-4: Factors of 84749

List of positive integer factors of 84749 that divides 84736 without a remainder.

1, 7, 12107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84736 and 84749. The biggest common factor number is the GCF number.
So the greatest common factor 84736 and 84749 is 1.

Also check out the Least Common Multiple of 84736 and 84749