What is the Greatest Common Factor of 74096 and 74102?

Greatest common factor (GCF) of 74096 and 74102 is 2.

GCF(74096,74102) = 2

We will now calculate the prime factors of 74096 and 74102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74096 and 74102.

How to find the GCF of 74096 and 74102?

We will first find the prime factorization of 74096 and 74102. After we will calculate the factors of 74096 and 74102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74102

Prime factors of 74102 are 2, 7, 67, 79. Prime factorization of 74102 in exponential form is:

74102 = 2¹ × 7¹ × 67¹ × 79¹

Step-3: Factors of 74096

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

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

Step-4: Factors of 74102

List of positive integer factors of 74102 that divides 74096 without a remainder.

1, 2, 7, 14, 67, 79, 134, 158, 469, 553, 938, 1106, 5293, 10586, 37051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74096 and 74102. The biggest common factor number is the GCF number.
So the greatest common factor 74096 and 74102 is 2.

Also check out the Least Common Multiple of 74096 and 74102