What is the Greatest Common Factor of 39150 and 39169?

Greatest common factor (GCF) of 39150 and 39169 is 1.

GCF(39150,39169) = 1

We will now calculate the prime factors of 39150 and 39169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39150 and 39169.

How to find the GCF of 39150 and 39169?

We will first find the prime factorization of 39150 and 39169. After we will calculate the factors of 39150 and 39169 and find the biggest common factor number .

Step-1: Prime Factorization of 39150

Prime factors of 39150 are 2, 3, 5, 29. Prime factorization of 39150 in exponential form is:

39150 = 2¹ × 3³ × 5² × 29¹

Step-2: Prime Factorization of 39169

Prime factors of 39169 are 13, 23, 131. Prime factorization of 39169 in exponential form is:

39169 = 13¹ × 23¹ × 131¹

Step-3: Factors of 39150

List of positive integer factors of 39150 that divides 39150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 29, 30, 45, 50, 54, 58, 75, 87, 90, 135, 145, 150, 174, 225, 261, 270, 290, 435, 450, 522, 675, 725, 783, 870, 1305, 1350, 1450, 1566, 2175, 2610, 3915, 4350, 6525, 7830, 13050, 19575

Step-4: Factors of 39169

List of positive integer factors of 39169 that divides 39150 without a remainder.

1, 13, 23, 131, 299, 1703, 3013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39150 and 39169. The biggest common factor number is the GCF number.
So the greatest common factor 39150 and 39169 is 1.

Also check out the Least Common Multiple of 39150 and 39169