What is the Greatest Common Factor of 41748 and 41752?

Greatest common factor (GCF) of 41748 and 41752 is 4.

GCF(41748,41752) = 4

We will now calculate the prime factors of 41748 and 41752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41748 and 41752.

How to find the GCF of 41748 and 41752?

We will first find the prime factorization of 41748 and 41752. After we will calculate the factors of 41748 and 41752 and find the biggest common factor number .

Step-1: Prime Factorization of 41748

Prime factors of 41748 are 2, 3, 7, 71. Prime factorization of 41748 in exponential form is:

41748 = 2² × 3¹ × 7² × 71¹

Step-2: Prime Factorization of 41752

Prime factors of 41752 are 2, 17, 307. Prime factorization of 41752 in exponential form is:

41752 = 2³ × 17¹ × 307¹

Step-3: Factors of 41748

List of positive integer factors of 41748 that divides 41748 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 71, 84, 98, 142, 147, 196, 213, 284, 294, 426, 497, 588, 852, 994, 1491, 1988, 2982, 3479, 5964, 6958, 10437, 13916, 20874

Step-4: Factors of 41752

List of positive integer factors of 41752 that divides 41748 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 307, 614, 1228, 2456, 5219, 10438, 20876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41748 and 41752. The biggest common factor number is the GCF number.
So the greatest common factor 41748 and 41752 is 4.

Also check out the Least Common Multiple of 41748 and 41752