What is the Greatest Common Factor of 75946 and 75952?

Greatest common factor (GCF) of 75946 and 75952 is 2.

GCF(75946,75952) = 2

We will now calculate the prime factors of 75946 and 75952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75946 and 75952.

How to find the GCF of 75946 and 75952?

We will first find the prime factorization of 75946 and 75952. After we will calculate the factors of 75946 and 75952 and find the biggest common factor number .

Step-1: Prime Factorization of 75946

Prime factors of 75946 are 2, 13, 23, 127. Prime factorization of 75946 in exponential form is:

75946 = 2¹ × 13¹ × 23¹ × 127¹

Step-2: Prime Factorization of 75952

Prime factors of 75952 are 2, 47, 101. Prime factorization of 75952 in exponential form is:

75952 = 2⁴ × 47¹ × 101¹

Step-3: Factors of 75946

List of positive integer factors of 75946 that divides 75946 without a remainder.

1, 2, 13, 23, 26, 46, 127, 254, 299, 598, 1651, 2921, 3302, 5842, 37973

Step-4: Factors of 75952

List of positive integer factors of 75952 that divides 75946 without a remainder.

1, 2, 4, 8, 16, 47, 94, 101, 188, 202, 376, 404, 752, 808, 1616, 4747, 9494, 18988, 37976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75946 and 75952. The biggest common factor number is the GCF number.
So the greatest common factor 75946 and 75952 is 2.

Also check out the Least Common Multiple of 75946 and 75952