What is the Greatest Common Factor of 39274 and 39288?

Greatest common factor (GCF) of 39274 and 39288 is 2.

GCF(39274,39288) = 2

We will now calculate the prime factors of 39274 and 39288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39274 and 39288.

How to find the GCF of 39274 and 39288?

We will first find the prime factorization of 39274 and 39288. After we will calculate the factors of 39274 and 39288 and find the biggest common factor number .

Step-1: Prime Factorization of 39274

Prime factors of 39274 are 2, 73, 269. Prime factorization of 39274 in exponential form is:

39274 = 2¹ × 73¹ × 269¹

Step-2: Prime Factorization of 39288

Prime factors of 39288 are 2, 3, 1637. Prime factorization of 39288 in exponential form is:

39288 = 2³ × 3¹ × 1637¹

Step-3: Factors of 39274

List of positive integer factors of 39274 that divides 39274 without a remainder.

1, 2, 73, 146, 269, 538, 19637

Step-4: Factors of 39288

List of positive integer factors of 39288 that divides 39274 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1637, 3274, 4911, 6548, 9822, 13096, 19644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39274 and 39288. The biggest common factor number is the GCF number.
So the greatest common factor 39274 and 39288 is 2.

Also check out the Least Common Multiple of 39274 and 39288