What is the Greatest Common Factor of 74914 and 74926?

Greatest common factor (GCF) of 74914 and 74926 is 2.

GCF(74914,74926) = 2

We will now calculate the prime factors of 74914 and 74926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74914 and 74926.

How to find the GCF of 74914 and 74926?

We will first find the prime factorization of 74914 and 74926. After we will calculate the factors of 74914 and 74926 and find the biggest common factor number .

Step-1: Prime Factorization of 74914

Prime factors of 74914 are 2, 7, 5351. Prime factorization of 74914 in exponential form is:

74914 = 2¹ × 7¹ × 5351¹

Step-2: Prime Factorization of 74926

Prime factors of 74926 are 2, 37463. Prime factorization of 74926 in exponential form is:

74926 = 2¹ × 37463¹

Step-3: Factors of 74914

List of positive integer factors of 74914 that divides 74914 without a remainder.

1, 2, 7, 14, 5351, 10702, 37457

Step-4: Factors of 74926

List of positive integer factors of 74926 that divides 74914 without a remainder.

1, 2, 37463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74914 and 74926. The biggest common factor number is the GCF number.
So the greatest common factor 74914 and 74926 is 2.

Also check out the Least Common Multiple of 74914 and 74926