What is the Greatest Common Factor of 94749 and 94758?

Greatest common factor (GCF) of 94749 and 94758 is 3.

GCF(94749,94758) = 3

We will now calculate the prime factors of 94749 and 94758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94749 and 94758.

How to find the GCF of 94749 and 94758?

We will first find the prime factorization of 94749 and 94758. After we will calculate the factors of 94749 and 94758 and find the biggest common factor number .

Step-1: Prime Factorization of 94749

Prime factors of 94749 are 3, 31583. Prime factorization of 94749 in exponential form is:

94749 = 3¹ × 31583¹

Step-2: Prime Factorization of 94758

Prime factors of 94758 are 2, 3, 17, 929. Prime factorization of 94758 in exponential form is:

94758 = 2¹ × 3¹ × 17¹ × 929¹

Step-3: Factors of 94749

List of positive integer factors of 94749 that divides 94749 without a remainder.

1, 3, 31583

Step-4: Factors of 94758

List of positive integer factors of 94758 that divides 94749 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 929, 1858, 2787, 5574, 15793, 31586, 47379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94749 and 94758. The biggest common factor number is the GCF number.
So the greatest common factor 94749 and 94758 is 3.

Also check out the Least Common Multiple of 94749 and 94758