What is the Greatest Common Factor of 1950 and 1961?

Greatest common factor (GCF) of 1950 and 1961 is 1.

GCF(1950,1961) = 1

We will now calculate the prime factors of 1950 and 1961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1950 and 1961.

How to find the GCF of 1950 and 1961?

We will first find the prime factorization of 1950 and 1961. After we will calculate the factors of 1950 and 1961 and find the biggest common factor number .

Step-1: Prime Factorization of 1950

Prime factors of 1950 are 2, 3, 5, 13. Prime factorization of 1950 in exponential form is:

1950 = 2¹ × 3¹ × 5² × 13¹

Step-2: Prime Factorization of 1961

Prime factors of 1961 are 37, 53. Prime factorization of 1961 in exponential form is:

1961 = 37¹ × 53¹

Step-3: Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975

Step-4: Factors of 1961

List of positive integer factors of 1961 that divides 1950 without a remainder.

1, 37, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1950 and 1961. The biggest common factor number is the GCF number.
So the greatest common factor 1950 and 1961 is 1.

Also check out the Least Common Multiple of 1950 and 1961