What is the Greatest Common Factor of 40971 and 40985?

Greatest common factor (GCF) of 40971 and 40985 is 7.

GCF(40971,40985) = 7

We will now calculate the prime factors of 40971 and 40985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40971 and 40985.

How to find the GCF of 40971 and 40985?

We will first find the prime factorization of 40971 and 40985. After we will calculate the factors of 40971 and 40985 and find the biggest common factor number .

Step-1: Prime Factorization of 40971

Prime factors of 40971 are 3, 7, 1951. Prime factorization of 40971 in exponential form is:

40971 = 3¹ × 7¹ × 1951¹

Step-2: 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-3: Factors of 40971

List of positive integer factors of 40971 that divides 40971 without a remainder.

1, 3, 7, 21, 1951, 5853, 13657

Step-4: Factors of 40985

List of positive integer factors of 40985 that divides 40971 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40971 and 40985. The biggest common factor number is the GCF number.
So the greatest common factor 40971 and 40985 is 7.

Also check out the Least Common Multiple of 40971 and 40985