What is the Greatest Common Factor of 41928 and 41948?

Greatest common factor (GCF) of 41928 and 41948 is 4.

GCF(41928,41948) = 4

We will now calculate the prime factors of 41928 and 41948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41928 and 41948.

How to find the GCF of 41928 and 41948?

We will first find the prime factorization of 41928 and 41948. After we will calculate the factors of 41928 and 41948 and find the biggest common factor number .

Step-1: Prime Factorization of 41928

Prime factors of 41928 are 2, 3, 1747. Prime factorization of 41928 in exponential form is:

41928 = 2³ × 3¹ × 1747¹

Step-2: Prime Factorization of 41948

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

41948 = 2² × 10487¹

Step-3: Factors of 41928

List of positive integer factors of 41928 that divides 41928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1747, 3494, 5241, 6988, 10482, 13976, 20964

Step-4: Factors of 41948

List of positive integer factors of 41948 that divides 41928 without a remainder.

1, 2, 4, 10487, 20974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41928 and 41948. The biggest common factor number is the GCF number.
So the greatest common factor 41928 and 41948 is 4.

Also check out the Least Common Multiple of 41928 and 41948