What is the Greatest Common Factor of 7946 and 7952?

Greatest common factor (GCF) of 7946 and 7952 is 2.

GCF(7946,7952) = 2

We will now calculate the prime factors of 7946 and 7952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7946 and 7952.

How to find the GCF of 7946 and 7952?

We will first find the prime factorization of 7946 and 7952. After we will calculate the factors of 7946 and 7952 and find the biggest common factor number .

Step-1: Prime Factorization of 7946

Prime factors of 7946 are 2, 29, 137. Prime factorization of 7946 in exponential form is:

7946 = 2¹ × 29¹ × 137¹

Step-2: Prime Factorization of 7952

Prime factors of 7952 are 2, 7, 71. Prime factorization of 7952 in exponential form is:

7952 = 2⁴ × 7¹ × 71¹

Step-3: Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1, 2, 29, 58, 137, 274, 3973

Step-4: Factors of 7952

List of positive integer factors of 7952 that divides 7946 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7946 and 7952. The biggest common factor number is the GCF number.
So the greatest common factor 7946 and 7952 is 2.

Also check out the Least Common Multiple of 7946 and 7952