What is the Greatest Common Factor of 41948 and 41952?

Greatest common factor (GCF) of 41948 and 41952 is 4.

GCF(41948,41952) = 4

We will now calculate the prime factors of 41948 and 41952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41948 and 41952.

How to find the GCF of 41948 and 41952?

We will first find the prime factorization of 41948 and 41952. After we will calculate the factors of 41948 and 41952 and find the biggest common factor number .

Step-1: Prime Factorization of 41948

Prime factors of 41948 are 2, 10487. Prime factorization of 41948 in exponential form is:

41948 = 2² × 10487¹

Step-2: Prime Factorization of 41952

Prime factors of 41952 are 2, 3, 19, 23. Prime factorization of 41952 in exponential form is:

41952 = 2⁵ × 3¹ × 19¹ × 23¹

Step-3: Factors of 41948

List of positive integer factors of 41948 that divides 41948 without a remainder.

1, 2, 4, 10487, 20974

Step-4: Factors of 41952

List of positive integer factors of 41952 that divides 41948 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 32, 38, 46, 48, 57, 69, 76, 92, 96, 114, 138, 152, 184, 228, 276, 304, 368, 437, 456, 552, 608, 736, 874, 912, 1104, 1311, 1748, 1824, 2208, 2622, 3496, 5244, 6992, 10488, 13984, 20976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41948 and 41952. The biggest common factor number is the GCF number.
So the greatest common factor 41948 and 41952 is 4.

Also check out the Least Common Multiple of 41948 and 41952