What is the Greatest Common Factor of 74998 and 75018?

Greatest common factor (GCF) of 74998 and 75018 is 2.

GCF(74998,75018) = 2

We will now calculate the prime factors of 74998 and 75018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74998 and 75018.

How to find the GCF of 74998 and 75018?

We will first find the prime factorization of 74998 and 75018. After we will calculate the factors of 74998 and 75018 and find the biggest common factor number .

Step-1: Prime Factorization of 74998

Prime factors of 74998 are 2, 7, 11, 487. Prime factorization of 74998 in exponential form is:

74998 = 2¹ × 7¹ × 11¹ × 487¹

Step-2: Prime Factorization of 75018

Prime factors of 75018 are 2, 3, 12503. Prime factorization of 75018 in exponential form is:

75018 = 2¹ × 3¹ × 12503¹

Step-3: Factors of 74998

List of positive integer factors of 74998 that divides 74998 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 487, 974, 3409, 5357, 6818, 10714, 37499

Step-4: Factors of 75018

List of positive integer factors of 75018 that divides 74998 without a remainder.

1, 2, 3, 6, 12503, 25006, 37509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74998 and 75018. The biggest common factor number is the GCF number.
So the greatest common factor 74998 and 75018 is 2.

Also check out the Least Common Multiple of 74998 and 75018