What is the Greatest Common Factor of 74288 and 74298?

Greatest common factor (GCF) of 74288 and 74298 is 2.

GCF(74288,74298) = 2

We will now calculate the prime factors of 74288 and 74298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74288 and 74298.

How to find the GCF of 74288 and 74298?

We will first find the prime factorization of 74288 and 74298. After we will calculate the factors of 74288 and 74298 and find the biggest common factor number .

Step-1: Prime Factorization of 74288

Prime factors of 74288 are 2, 4643. Prime factorization of 74288 in exponential form is:

74288 = 2⁴ × 4643¹

Step-2: Prime Factorization of 74298

Prime factors of 74298 are 2, 3, 7, 29, 61. Prime factorization of 74298 in exponential form is:

74298 = 2¹ × 3¹ × 7¹ × 29¹ × 61¹

Step-3: Factors of 74288

List of positive integer factors of 74288 that divides 74288 without a remainder.

1, 2, 4, 8, 16, 4643, 9286, 18572, 37144

Step-4: Factors of 74298

List of positive integer factors of 74298 that divides 74288 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 61, 87, 122, 174, 183, 203, 366, 406, 427, 609, 854, 1218, 1281, 1769, 2562, 3538, 5307, 10614, 12383, 24766, 37149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74288 and 74298. The biggest common factor number is the GCF number.
So the greatest common factor 74288 and 74298 is 2.

Also check out the Least Common Multiple of 74288 and 74298