What is the Greatest Common Factor of 1946 and 1952?

Greatest common factor (GCF) of 1946 and 1952 is 2.

GCF(1946,1952) = 2

We will now calculate the prime factors of 1946 and 1952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1946 and 1952.

How to find the GCF of 1946 and 1952?

We will first find the prime factorization of 1946 and 1952. After we will calculate the factors of 1946 and 1952 and find the biggest common factor number .

Step-1: Prime Factorization of 1946

Prime factors of 1946 are 2, 7, 139. Prime factorization of 1946 in exponential form is:

1946 = 2¹ × 7¹ × 139¹

Step-2: Prime Factorization of 1952

Prime factors of 1952 are 2, 61. Prime factorization of 1952 in exponential form is:

1952 = 2⁵ × 61¹

Step-3: Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1, 2, 7, 14, 139, 278, 973

Step-4: Factors of 1952

List of positive integer factors of 1952 that divides 1946 without a remainder.

1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1946 and 1952. The biggest common factor number is the GCF number.
So the greatest common factor 1946 and 1952 is 2.

Also check out the Least Common Multiple of 1946 and 1952