What is the Greatest Common Factor of 74748 and 74758?

Greatest common factor (GCF) of 74748 and 74758 is 2.

GCF(74748,74758) = 2

We will now calculate the prime factors of 74748 and 74758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74748 and 74758.

How to find the GCF of 74748 and 74758?

We will first find the prime factorization of 74748 and 74758. After we will calculate the factors of 74748 and 74758 and find the biggest common factor number .

Step-1: Prime Factorization of 74748

Prime factors of 74748 are 2, 3, 6229. Prime factorization of 74748 in exponential form is:

74748 = 2² × 3¹ × 6229¹

Step-2: Prime Factorization of 74758

Prime factors of 74758 are 2, 37379. Prime factorization of 74758 in exponential form is:

74758 = 2¹ × 37379¹

Step-3: Factors of 74748

List of positive integer factors of 74748 that divides 74748 without a remainder.

1, 2, 3, 4, 6, 12, 6229, 12458, 18687, 24916, 37374

Step-4: Factors of 74758

List of positive integer factors of 74758 that divides 74748 without a remainder.

1, 2, 37379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74748 and 74758. The biggest common factor number is the GCF number.
So the greatest common factor 74748 and 74758 is 2.

Also check out the Least Common Multiple of 74748 and 74758