What is the Greatest Common Factor of 39050 and 39061?

Greatest common factor (GCF) of 39050 and 39061 is 11.

GCF(39050,39061) = 11

We will now calculate the prime factors of 39050 and 39061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39050 and 39061.

How to find the GCF of 39050 and 39061?

We will first find the prime factorization of 39050 and 39061. After we will calculate the factors of 39050 and 39061 and find the biggest common factor number .

Step-1: Prime Factorization of 39050

Prime factors of 39050 are 2, 5, 11, 71. Prime factorization of 39050 in exponential form is:

39050 = 2¹ × 5² × 11¹ × 71¹

Step-2: Prime Factorization of 39061

Prime factors of 39061 are 11, 53, 67. Prime factorization of 39061 in exponential form is:

39061 = 11¹ × 53¹ × 67¹

Step-3: Factors of 39050

List of positive integer factors of 39050 that divides 39050 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 71, 110, 142, 275, 355, 550, 710, 781, 1562, 1775, 3550, 3905, 7810, 19525

Step-4: Factors of 39061

List of positive integer factors of 39061 that divides 39050 without a remainder.

1, 11, 53, 67, 583, 737, 3551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39050 and 39061. The biggest common factor number is the GCF number.
So the greatest common factor 39050 and 39061 is 11.

Also check out the Least Common Multiple of 39050 and 39061