What is the Greatest Common Factor of 74414 and 74422?

Greatest common factor (GCF) of 74414 and 74422 is 2.

GCF(74414,74422) = 2

We will now calculate the prime factors of 74414 and 74422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74414 and 74422.

How to find the GCF of 74414 and 74422?

We will first find the prime factorization of 74414 and 74422. After we will calculate the factors of 74414 and 74422 and find the biggest common factor number .

Step-1: Prime Factorization of 74414

Prime factors of 74414 are 2, 29, 1283. Prime factorization of 74414 in exponential form is:

74414 = 2¹ × 29¹ × 1283¹

Step-2: Prime Factorization of 74422

Prime factors of 74422 are 2, 127, 293. Prime factorization of 74422 in exponential form is:

74422 = 2¹ × 127¹ × 293¹

Step-3: Factors of 74414

List of positive integer factors of 74414 that divides 74414 without a remainder.

1, 2, 29, 58, 1283, 2566, 37207

Step-4: Factors of 74422

List of positive integer factors of 74422 that divides 74414 without a remainder.

1, 2, 127, 254, 293, 586, 37211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74414 and 74422. The biggest common factor number is the GCF number.
So the greatest common factor 74414 and 74422 is 2.

Also check out the Least Common Multiple of 74414 and 74422