What is the Greatest Common Factor of 1945 and 1955?

Greatest common factor (GCF) of 1945 and 1955 is 5.

GCF(1945,1955) = 5

We will now calculate the prime factors of 1945 and 1955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1945 and 1955.

How to find the GCF of 1945 and 1955?

We will first find the prime factorization of 1945 and 1955. After we will calculate the factors of 1945 and 1955 and find the biggest common factor number .

Step-1: Prime Factorization of 1945

Prime factors of 1945 are 5, 389. Prime factorization of 1945 in exponential form is:

1945 = 5¹ × 389¹

Step-2: Prime Factorization of 1955

Prime factors of 1955 are 5, 17, 23. Prime factorization of 1955 in exponential form is:

1955 = 5¹ × 17¹ × 23¹

Step-3: Factors of 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1, 5, 389

Step-4: Factors of 1955

List of positive integer factors of 1955 that divides 1945 without a remainder.

1, 5, 17, 23, 85, 115, 391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1945 and 1955. The biggest common factor number is the GCF number.
So the greatest common factor 1945 and 1955 is 5.

Also check out the Least Common Multiple of 1945 and 1955