What is the Greatest Common Factor of 40970 and 40987?

Greatest common factor (GCF) of 40970 and 40987 is 17.

GCF(40970,40987) = 17

We will now calculate the prime factors of 40970 and 40987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40970 and 40987.

How to find the GCF of 40970 and 40987?

We will first find the prime factorization of 40970 and 40987. After we will calculate the factors of 40970 and 40987 and find the biggest common factor number .

Step-1: Prime Factorization of 40970

Prime factors of 40970 are 2, 5, 17, 241. Prime factorization of 40970 in exponential form is:

40970 = 2¹ × 5¹ × 17¹ × 241¹

Step-2: Prime Factorization of 40987

Prime factors of 40987 are 17, 2411. Prime factorization of 40987 in exponential form is:

40987 = 17¹ × 2411¹

Step-3: Factors of 40970

List of positive integer factors of 40970 that divides 40970 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 241, 482, 1205, 2410, 4097, 8194, 20485

Step-4: Factors of 40987

List of positive integer factors of 40987 that divides 40970 without a remainder.

1, 17, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40970 and 40987. The biggest common factor number is the GCF number.
So the greatest common factor 40970 and 40987 is 17.

Also check out the Least Common Multiple of 40970 and 40987