What is the Greatest Common Factor of 74914 and 74922?

Greatest common factor (GCF) of 74914 and 74922 is 2.

GCF(74914,74922) = 2

We will now calculate the prime factors of 74914 and 74922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74914 and 74922.

How to find the GCF of 74914 and 74922?

We will first find the prime factorization of 74914 and 74922. After we will calculate the factors of 74914 and 74922 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 74922

Prime factors of 74922 are 2, 3, 12487. Prime factorization of 74922 in exponential form is:

74922 = 2¹ × 3¹ × 12487¹

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 74922

List of positive integer factors of 74922 that divides 74914 without a remainder.

1, 2, 3, 6, 12487, 24974, 37461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74914 and 74922. The biggest common factor number is the GCF number.
So the greatest common factor 74914 and 74922 is 2.

Also check out the Least Common Multiple of 74914 and 74922