What is the Greatest Common Factor of 41952 and 41970?

Greatest common factor (GCF) of 41952 and 41970 is 6.

GCF(41952,41970) = 6

We will now calculate the prime factors of 41952 and 41970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41952 and 41970.

How to find the GCF of 41952 and 41970?

We will first find the prime factorization of 41952 and 41970. After we will calculate the factors of 41952 and 41970 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 41970

Prime factors of 41970 are 2, 3, 5, 1399. Prime factorization of 41970 in exponential form is:

41970 = 2¹ × 3¹ × 5¹ × 1399¹

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 41970

List of positive integer factors of 41970 that divides 41952 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1399, 2798, 4197, 6995, 8394, 13990, 20985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41952 and 41970. The biggest common factor number is the GCF number.
So the greatest common factor 41952 and 41970 is 6.

Also check out the Least Common Multiple of 41952 and 41970