What is the Greatest Common Factor of 40985 and 40995?

Greatest common factor (GCF) of 40985 and 40995 is 5.

GCF(40985,40995) = 5

We will now calculate the prime factors of 40985 and 40995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40985 and 40995.

How to find the GCF of 40985 and 40995?

We will first find the prime factorization of 40985 and 40995. After we will calculate the factors of 40985 and 40995 and find the biggest common factor number .

Step-1: Prime Factorization of 40985

Prime factors of 40985 are 5, 7, 1171. Prime factorization of 40985 in exponential form is:

40985 = 5¹ × 7¹ × 1171¹

Step-2: Prime Factorization of 40995

Prime factors of 40995 are 3, 5, 911. Prime factorization of 40995 in exponential form is:

40995 = 3² × 5¹ × 911¹

Step-3: Factors of 40985

List of positive integer factors of 40985 that divides 40985 without a remainder.

1, 5, 7, 35, 1171, 5855, 8197

Step-4: Factors of 40995

List of positive integer factors of 40995 that divides 40985 without a remainder.

1, 3, 5, 9, 15, 45, 911, 2733, 4555, 8199, 13665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40985 and 40995. The biggest common factor number is the GCF number.
So the greatest common factor 40985 and 40995 is 5.

Also check out the Least Common Multiple of 40985 and 40995