What is the Greatest Common Factor of 41952 and 41972?

Greatest common factor (GCF) of 41952 and 41972 is 4.

GCF(41952,41972) = 4

We will now calculate the prime factors of 41952 and 41972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41952 and 41972.

How to find the GCF of 41952 and 41972?

We will first find the prime factorization of 41952 and 41972. After we will calculate the factors of 41952 and 41972 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 41972

Prime factors of 41972 are 2, 7, 1499. Prime factorization of 41972 in exponential form is:

41972 = 2² × 7¹ × 1499¹

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 41972

List of positive integer factors of 41972 that divides 41952 without a remainder.

1, 2, 4, 7, 14, 28, 1499, 2998, 5996, 10493, 20986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41952 and 41972. The biggest common factor number is the GCF number.
So the greatest common factor 41952 and 41972 is 4.

Also check out the Least Common Multiple of 41952 and 41972