What is the Greatest Common Factor of 74982 and 75002?

Greatest common factor (GCF) of 74982 and 75002 is 2.

GCF(74982,75002) = 2

We will now calculate the prime factors of 74982 and 75002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74982 and 75002.

How to find the GCF of 74982 and 75002?

We will first find the prime factorization of 74982 and 75002. After we will calculate the factors of 74982 and 75002 and find the biggest common factor number .

Step-1: Prime Factorization of 74982

Prime factors of 74982 are 2, 3, 12497. Prime factorization of 74982 in exponential form is:

74982 = 2¹ × 3¹ × 12497¹

Step-2: Prime Factorization of 75002

Prime factors of 75002 are 2, 37501. Prime factorization of 75002 in exponential form is:

75002 = 2¹ × 37501¹

Step-3: Factors of 74982

List of positive integer factors of 74982 that divides 74982 without a remainder.

1, 2, 3, 6, 12497, 24994, 37491

Step-4: Factors of 75002

List of positive integer factors of 75002 that divides 74982 without a remainder.

1, 2, 37501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74982 and 75002. The biggest common factor number is the GCF number.
So the greatest common factor 74982 and 75002 is 2.

Also check out the Least Common Multiple of 74982 and 75002