What is the Greatest Common Factor of 39274 and 39292?

Greatest common factor (GCF) of 39274 and 39292 is 2.

GCF(39274,39292) = 2

We will now calculate the prime factors of 39274 and 39292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39274 and 39292.

How to find the GCF of 39274 and 39292?

We will first find the prime factorization of 39274 and 39292. After we will calculate the factors of 39274 and 39292 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 39292

Prime factors of 39292 are 2, 11, 19, 47. Prime factorization of 39292 in exponential form is:

39292 = 2² × 11¹ × 19¹ × 47¹

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 39292

List of positive integer factors of 39292 that divides 39274 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 47, 76, 94, 188, 209, 418, 517, 836, 893, 1034, 1786, 2068, 3572, 9823, 19646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39274 and 39292. The biggest common factor number is the GCF number.
So the greatest common factor 39274 and 39292 is 2.

Also check out the Least Common Multiple of 39274 and 39292