What is the Greatest Common Factor of 38955 and 38970?

Greatest common factor (GCF) of 38955 and 38970 is 15.

GCF(38955,38970) = 15

We will now calculate the prime factors of 38955 and 38970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38955 and 38970.

How to find the GCF of 38955 and 38970?

We will first find the prime factorization of 38955 and 38970. After we will calculate the factors of 38955 and 38970 and find the biggest common factor number .

Step-1: Prime Factorization of 38955

Prime factors of 38955 are 3, 5, 7, 53. Prime factorization of 38955 in exponential form is:

38955 = 3¹ × 5¹ × 7² × 53¹

Step-2: Prime Factorization of 38970

Prime factors of 38970 are 2, 3, 5, 433. Prime factorization of 38970 in exponential form is:

38970 = 2¹ × 3² × 5¹ × 433¹

Step-3: Factors of 38955

List of positive integer factors of 38955 that divides 38955 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 53, 105, 147, 159, 245, 265, 371, 735, 795, 1113, 1855, 2597, 5565, 7791, 12985

Step-4: Factors of 38970

List of positive integer factors of 38970 that divides 38955 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 433, 866, 1299, 2165, 2598, 3897, 4330, 6495, 7794, 12990, 19485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38955 and 38970. The biggest common factor number is the GCF number.
So the greatest common factor 38955 and 38970 is 15.

Also check out the Least Common Multiple of 38955 and 38970