What is the Greatest Common Factor of 38045 and 38050?

Greatest common factor (GCF) of 38045 and 38050 is 5.

GCF(38045,38050) = 5

We will now calculate the prime factors of 38045 and 38050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38045 and 38050.

How to find the GCF of 38045 and 38050?

We will first find the prime factorization of 38045 and 38050. After we will calculate the factors of 38045 and 38050 and find the biggest common factor number .

Step-1: Prime Factorization of 38045

Prime factors of 38045 are 5, 7, 1087. Prime factorization of 38045 in exponential form is:

38045 = 5¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 38050

Prime factors of 38050 are 2, 5, 761. Prime factorization of 38050 in exponential form is:

38050 = 2¹ × 5² × 761¹

Step-3: Factors of 38045

List of positive integer factors of 38045 that divides 38045 without a remainder.

1, 5, 7, 35, 1087, 5435, 7609

Step-4: Factors of 38050

List of positive integer factors of 38050 that divides 38045 without a remainder.

1, 2, 5, 10, 25, 50, 761, 1522, 3805, 7610, 19025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38045 and 38050. The biggest common factor number is the GCF number.
So the greatest common factor 38045 and 38050 is 5.

Also check out the Least Common Multiple of 38045 and 38050