What is the Greatest Common Factor of 79274 and 79288?

Greatest common factor (GCF) of 79274 and 79288 is 2.

GCF(79274,79288) = 2

We will now calculate the prime factors of 79274 and 79288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79274 and 79288.

How to find the GCF of 79274 and 79288?

We will first find the prime factorization of 79274 and 79288. After we will calculate the factors of 79274 and 79288 and find the biggest common factor number .

Step-1: Prime Factorization of 79274

Prime factors of 79274 are 2, 13, 3049. Prime factorization of 79274 in exponential form is:

79274 = 2¹ × 13¹ × 3049¹

Step-2: Prime Factorization of 79288

Prime factors of 79288 are 2, 11, 17, 53. Prime factorization of 79288 in exponential form is:

79288 = 2³ × 11¹ × 17¹ × 53¹

Step-3: Factors of 79274

List of positive integer factors of 79274 that divides 79274 without a remainder.

1, 2, 13, 26, 3049, 6098, 39637

Step-4: Factors of 79288

List of positive integer factors of 79288 that divides 79274 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 53, 68, 88, 106, 136, 187, 212, 374, 424, 583, 748, 901, 1166, 1496, 1802, 2332, 3604, 4664, 7208, 9911, 19822, 39644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79274 and 79288. The biggest common factor number is the GCF number.
So the greatest common factor 79274 and 79288 is 2.

Also check out the Least Common Multiple of 79274 and 79288