What is the Greatest Common Factor of 40984 and 41002?

Greatest common factor (GCF) of 40984 and 41002 is 2.

GCF(40984,41002) = 2

We will now calculate the prime factors of 40984 and 41002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40984 and 41002.

How to find the GCF of 40984 and 41002?

We will first find the prime factorization of 40984 and 41002. After we will calculate the factors of 40984 and 41002 and find the biggest common factor number .

Step-1: Prime Factorization of 40984

Prime factors of 40984 are 2, 47, 109. Prime factorization of 40984 in exponential form is:

40984 = 2³ × 47¹ × 109¹

Step-2: Prime Factorization of 41002

Prime factors of 41002 are 2, 13, 19, 83. Prime factorization of 41002 in exponential form is:

41002 = 2¹ × 13¹ × 19¹ × 83¹

Step-3: Factors of 40984

List of positive integer factors of 40984 that divides 40984 without a remainder.

1, 2, 4, 8, 47, 94, 109, 188, 218, 376, 436, 872, 5123, 10246, 20492

Step-4: Factors of 41002

List of positive integer factors of 41002 that divides 40984 without a remainder.

1, 2, 13, 19, 26, 38, 83, 166, 247, 494, 1079, 1577, 2158, 3154, 20501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40984 and 41002. The biggest common factor number is the GCF number.
So the greatest common factor 40984 and 41002 is 2.

Also check out the Least Common Multiple of 40984 and 41002