What is the Greatest Common Factor of 74894 and 74904?

Greatest common factor (GCF) of 74894 and 74904 is 2.

GCF(74894,74904) = 2

We will now calculate the prime factors of 74894 and 74904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74894 and 74904.

How to find the GCF of 74894 and 74904?

We will first find the prime factorization of 74894 and 74904. After we will calculate the factors of 74894 and 74904 and find the biggest common factor number .

Step-1: Prime Factorization of 74894

Prime factors of 74894 are 2, 37447. Prime factorization of 74894 in exponential form is:

74894 = 2¹ × 37447¹

Step-2: Prime Factorization of 74904

Prime factors of 74904 are 2, 3, 3121. Prime factorization of 74904 in exponential form is:

74904 = 2³ × 3¹ × 3121¹

Step-3: Factors of 74894

List of positive integer factors of 74894 that divides 74894 without a remainder.

1, 2, 37447

Step-4: Factors of 74904

List of positive integer factors of 74904 that divides 74894 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3121, 6242, 9363, 12484, 18726, 24968, 37452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74894 and 74904. The biggest common factor number is the GCF number.
So the greatest common factor 74894 and 74904 is 2.

Also check out the Least Common Multiple of 74894 and 74904