What is the Greatest Common Factor of 73988 and 74002?

Greatest common factor (GCF) of 73988 and 74002 is 2.

GCF(73988,74002) = 2

We will now calculate the prime factors of 73988 and 74002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73988 and 74002.

How to find the GCF of 73988 and 74002?

We will first find the prime factorization of 73988 and 74002. After we will calculate the factors of 73988 and 74002 and find the biggest common factor number .

Step-1: Prime Factorization of 73988

Prime factors of 73988 are 2, 53, 349. Prime factorization of 73988 in exponential form is:

73988 = 2² × 53¹ × 349¹

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 73988

List of positive integer factors of 73988 that divides 73988 without a remainder.

1, 2, 4, 53, 106, 212, 349, 698, 1396, 18497, 36994

Step-4: Factors of 74002

List of positive integer factors of 74002 that divides 73988 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73988 and 74002. The biggest common factor number is the GCF number.
So the greatest common factor 73988 and 74002 is 2.

Also check out the Least Common Multiple of 73988 and 74002