What is the Greatest Common Factor of 84738 and 84758?

Greatest common factor (GCF) of 84738 and 84758 is 2.

GCF(84738,84758) = 2

We will now calculate the prime factors of 84738 and 84758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84738 and 84758.

How to find the GCF of 84738 and 84758?

We will first find the prime factorization of 84738 and 84758. After we will calculate the factors of 84738 and 84758 and find the biggest common factor number .

Step-1: Prime Factorization of 84738

Prime factors of 84738 are 2, 3, 29, 487. Prime factorization of 84738 in exponential form is:

84738 = 2¹ × 3¹ × 29¹ × 487¹

Step-2: Prime Factorization of 84758

Prime factors of 84758 are 2, 42379. Prime factorization of 84758 in exponential form is:

84758 = 2¹ × 42379¹

Step-3: Factors of 84738

List of positive integer factors of 84738 that divides 84738 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 487, 974, 1461, 2922, 14123, 28246, 42369

Step-4: Factors of 84758

List of positive integer factors of 84758 that divides 84738 without a remainder.

1, 2, 42379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84738 and 84758. The biggest common factor number is the GCF number.
So the greatest common factor 84738 and 84758 is 2.

Also check out the Least Common Multiple of 84738 and 84758