What is the Greatest Common Factor of 38953 and 38961?

Greatest common factor (GCF) of 38953 and 38961 is 1.

GCF(38953,38961) = 1

We will now calculate the prime factors of 38953 and 38961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38953 and 38961.

How to find the GCF of 38953 and 38961?

We will first find the prime factorization of 38953 and 38961. After we will calculate the factors of 38953 and 38961 and find the biggest common factor number .

Step-1: Prime Factorization of 38953

Prime factors of 38953 are 38953. Prime factorization of 38953 in exponential form is:

38953 = 38953¹

Step-2: Prime Factorization of 38961

Prime factors of 38961 are 3, 13, 37. Prime factorization of 38961 in exponential form is:

38961 = 3⁴ × 13¹ × 37¹

Step-3: Factors of 38953

List of positive integer factors of 38953 that divides 38953 without a remainder.

Step-4: Factors of 38961

List of positive integer factors of 38961 that divides 38953 without a remainder.

1, 3, 9, 13, 27, 37, 39, 81, 111, 117, 333, 351, 481, 999, 1053, 1443, 2997, 4329, 12987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38953 and 38961. The biggest common factor number is the GCF number.
So the greatest common factor 38953 and 38961 is 1.

Also check out the Least Common Multiple of 38953 and 38961