What is the Greatest Common Factor of 74426 and 74437?

Greatest common factor (GCF) of 74426 and 74437 is 11.

GCF(74426,74437) = 11

We will now calculate the prime factors of 74426 and 74437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74426 and 74437.

How to find the GCF of 74426 and 74437?

We will first find the prime factorization of 74426 and 74437. After we will calculate the factors of 74426 and 74437 and find the biggest common factor number .

Step-1: Prime Factorization of 74426

Prime factors of 74426 are 2, 11, 17, 199. Prime factorization of 74426 in exponential form is:

74426 = 2¹ × 11¹ × 17¹ × 199¹

Step-2: Prime Factorization of 74437

Prime factors of 74437 are 11, 67, 101. Prime factorization of 74437 in exponential form is:

74437 = 11¹ × 67¹ × 101¹

Step-3: Factors of 74426

List of positive integer factors of 74426 that divides 74426 without a remainder.

1, 2, 11, 17, 22, 34, 187, 199, 374, 398, 2189, 3383, 4378, 6766, 37213

Step-4: Factors of 74437

List of positive integer factors of 74437 that divides 74426 without a remainder.

1, 11, 67, 101, 737, 1111, 6767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74426 and 74437. The biggest common factor number is the GCF number.
So the greatest common factor 74426 and 74437 is 11.

Also check out the Least Common Multiple of 74426 and 74437