What is the Greatest Common Factor of 74076 and 74091?

Greatest common factor (GCF) of 74076 and 74091 is 3.

GCF(74076,74091) = 3

We will now calculate the prime factors of 74076 and 74091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74076 and 74091.

How to find the GCF of 74076 and 74091?

We will first find the prime factorization of 74076 and 74091. After we will calculate the factors of 74076 and 74091 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74091

Prime factors of 74091 are 3, 24697. Prime factorization of 74091 in exponential form is:

74091 = 3¹ × 24697¹

Step-3: Factors of 74076

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

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

Step-4: Factors of 74091

List of positive integer factors of 74091 that divides 74076 without a remainder.

1, 3, 24697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74076 and 74091. The biggest common factor number is the GCF number.
So the greatest common factor 74076 and 74091 is 3.

Also check out the Least Common Multiple of 74076 and 74091