What is the Greatest Common Factor of 74738 and 74754?

Greatest common factor (GCF) of 74738 and 74754 is 2.

GCF(74738,74754) = 2

We will now calculate the prime factors of 74738 and 74754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74738 and 74754.

How to find the GCF of 74738 and 74754?

We will first find the prime factorization of 74738 and 74754. After we will calculate the factors of 74738 and 74754 and find the biggest common factor number .

Step-1: Prime Factorization of 74738

Prime factors of 74738 are 2, 37369. Prime factorization of 74738 in exponential form is:

74738 = 2¹ × 37369¹

Step-2: Prime Factorization of 74754

Prime factors of 74754 are 2, 3, 4153. Prime factorization of 74754 in exponential form is:

74754 = 2¹ × 3² × 4153¹

Step-3: Factors of 74738

List of positive integer factors of 74738 that divides 74738 without a remainder.

1, 2, 37369

Step-4: Factors of 74754

List of positive integer factors of 74754 that divides 74738 without a remainder.

1, 2, 3, 6, 9, 18, 4153, 8306, 12459, 24918, 37377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74738 and 74754. The biggest common factor number is the GCF number.
So the greatest common factor 74738 and 74754 is 2.

Also check out the Least Common Multiple of 74738 and 74754