What is the Greatest Common Factor of 74090 and 74096?

Greatest common factor (GCF) of 74090 and 74096 is 2.

GCF(74090,74096) = 2

We will now calculate the prime factors of 74090 and 74096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74090 and 74096.

How to find the GCF of 74090 and 74096?

We will first find the prime factorization of 74090 and 74096. After we will calculate the factors of 74090 and 74096 and find the biggest common factor number .

Step-1: Prime Factorization of 74090

Prime factors of 74090 are 2, 5, 31, 239. Prime factorization of 74090 in exponential form is:

74090 = 2¹ × 5¹ × 31¹ × 239¹

Step-2: Prime Factorization of 74096

Prime factors of 74096 are 2, 11, 421. Prime factorization of 74096 in exponential form is:

74096 = 2⁴ × 11¹ × 421¹

Step-3: Factors of 74090

List of positive integer factors of 74090 that divides 74090 without a remainder.

1, 2, 5, 10, 31, 62, 155, 239, 310, 478, 1195, 2390, 7409, 14818, 37045

Step-4: Factors of 74096

List of positive integer factors of 74096 that divides 74090 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 421, 842, 1684, 3368, 4631, 6736, 9262, 18524, 37048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74090 and 74096. The biggest common factor number is the GCF number.
So the greatest common factor 74090 and 74096 is 2.

Also check out the Least Common Multiple of 74090 and 74096