What is the Greatest Common Factor of 41970 and 41975?

Greatest common factor (GCF) of 41970 and 41975 is 5.

GCF(41970,41975) = 5

We will now calculate the prime factors of 41970 and 41975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41970 and 41975.

How to find the GCF of 41970 and 41975?

We will first find the prime factorization of 41970 and 41975. After we will calculate the factors of 41970 and 41975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41975

Prime factors of 41975 are 5, 23, 73. Prime factorization of 41975 in exponential form is:

41975 = 5² × 23¹ × 73¹

Step-3: Factors of 41970

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

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

Step-4: Factors of 41975

List of positive integer factors of 41975 that divides 41970 without a remainder.

1, 5, 23, 25, 73, 115, 365, 575, 1679, 1825, 8395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41970 and 41975. The biggest common factor number is the GCF number.
So the greatest common factor 41970 and 41975 is 5.

Also check out the Least Common Multiple of 41970 and 41975