What is the Greatest Common Factor of 94740 and 94749?

Greatest common factor (GCF) of 94740 and 94749 is 3.

GCF(94740,94749) = 3

We will now calculate the prime factors of 94740 and 94749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94740 and 94749.

How to find the GCF of 94740 and 94749?

We will first find the prime factorization of 94740 and 94749. After we will calculate the factors of 94740 and 94749 and find the biggest common factor number .

Step-1: Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 2² × 3¹ × 5¹ × 1579¹

Step-2: Prime Factorization of 94749

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

94749 = 3¹ × 31583¹

Step-3: Factors of 94740

List of positive integer factors of 94740 that divides 94740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1579, 3158, 4737, 6316, 7895, 9474, 15790, 18948, 23685, 31580, 47370

Step-4: Factors of 94749

List of positive integer factors of 94749 that divides 94740 without a remainder.

1, 3, 31583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94740 and 94749. The biggest common factor number is the GCF number.
So the greatest common factor 94740 and 94749 is 3.

Also check out the Least Common Multiple of 94740 and 94749