What is the Greatest Common Factor of 39350 and 39364?

Greatest common factor (GCF) of 39350 and 39364 is 2.

GCF(39350,39364) = 2

We will now calculate the prime factors of 39350 and 39364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39350 and 39364.

How to find the GCF of 39350 and 39364?

We will first find the prime factorization of 39350 and 39364. After we will calculate the factors of 39350 and 39364 and find the biggest common factor number .

Step-1: Prime Factorization of 39350

Prime factors of 39350 are 2, 5, 787. Prime factorization of 39350 in exponential form is:

39350 = 2¹ × 5² × 787¹

Step-2: Prime Factorization of 39364

Prime factors of 39364 are 2, 13, 757. Prime factorization of 39364 in exponential form is:

39364 = 2² × 13¹ × 757¹

Step-3: Factors of 39350

List of positive integer factors of 39350 that divides 39350 without a remainder.

1, 2, 5, 10, 25, 50, 787, 1574, 3935, 7870, 19675

Step-4: Factors of 39364

List of positive integer factors of 39364 that divides 39350 without a remainder.

1, 2, 4, 13, 26, 52, 757, 1514, 3028, 9841, 19682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39350 and 39364. The biggest common factor number is the GCF number.
So the greatest common factor 39350 and 39364 is 2.

Also check out the Least Common Multiple of 39350 and 39364