What is the Greatest Common Factor of 74066 and 74076?

Greatest common factor (GCF) of 74066 and 74076 is 2.

GCF(74066,74076) = 2

We will now calculate the prime factors of 74066 and 74076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74066 and 74076.

How to find the GCF of 74066 and 74076?

We will first find the prime factorization of 74066 and 74076. After we will calculate the factors of 74066 and 74076 and find the biggest common factor number .

Step-1: Prime Factorization of 74066

Prime factors of 74066 are 2, 29, 1277. Prime factorization of 74066 in exponential form is:

74066 = 2¹ × 29¹ × 1277¹

Step-2: Prime Factorization of 74076

Prime factors of 74076 are 2, 3, 6173. Prime factorization of 74076 in exponential form is:

74076 = 2² × 3¹ × 6173¹

Step-3: Factors of 74066

List of positive integer factors of 74066 that divides 74066 without a remainder.

1, 2, 29, 58, 1277, 2554, 37033

Step-4: Factors of 74076

List of positive integer factors of 74076 that divides 74066 without a remainder.

1, 2, 3, 4, 6, 12, 6173, 12346, 18519, 24692, 37038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74066 and 74076. The biggest common factor number is the GCF number.
So the greatest common factor 74066 and 74076 is 2.

Also check out the Least Common Multiple of 74066 and 74076