What is the Greatest Common Factor of 41952 and 41971?

Greatest common factor (GCF) of 41952 and 41971 is 19.

GCF(41952,41971) = 19

We will now calculate the prime factors of 41952 and 41971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41952 and 41971.

How to find the GCF of 41952 and 41971?

We will first find the prime factorization of 41952 and 41971. After we will calculate the factors of 41952 and 41971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41971

Prime factors of 41971 are 19, 47. Prime factorization of 41971 in exponential form is:

41971 = 19¹ × 47²

Step-3: Factors of 41952

List of positive integer factors of 41952 that divides 41952 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

Step-4: Factors of 41971

List of positive integer factors of 41971 that divides 41952 without a remainder.

1, 19, 47, 893, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41952 and 41971. The biggest common factor number is the GCF number.
So the greatest common factor 41952 and 41971 is 19.

Also check out the Least Common Multiple of 41952 and 41971