What is the Greatest Common Factor of 73982 and 74002?

Greatest common factor (GCF) of 73982 and 74002 is 2.

GCF(73982,74002) = 2

We will now calculate the prime factors of 73982 and 74002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73982 and 74002.

How to find the GCF of 73982 and 74002?

We will first find the prime factorization of 73982 and 74002. After we will calculate the factors of 73982 and 74002 and find the biggest common factor number .

Step-1: Prime Factorization of 73982

Prime factors of 73982 are 2, 71, 521. Prime factorization of 73982 in exponential form is:

73982 = 2¹ × 71¹ × 521¹

Step-2: Prime Factorization of 74002

Prime factors of 74002 are 2, 163, 227. Prime factorization of 74002 in exponential form is:

74002 = 2¹ × 163¹ × 227¹

Step-3: Factors of 73982

List of positive integer factors of 73982 that divides 73982 without a remainder.

1, 2, 71, 142, 521, 1042, 36991

Step-4: Factors of 74002

List of positive integer factors of 74002 that divides 73982 without a remainder.

1, 2, 163, 227, 326, 454, 37001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73982 and 74002. The biggest common factor number is the GCF number.
So the greatest common factor 73982 and 74002 is 2.

Also check out the Least Common Multiple of 73982 and 74002