What is the Greatest Common Factor of 98074 and 98088?

Greatest common factor (GCF) of 98074 and 98088 is 2.

GCF(98074,98088) = 2

We will now calculate the prime factors of 98074 and 98088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98074 and 98088.

How to find the GCF of 98074 and 98088?

We will first find the prime factorization of 98074 and 98088. After we will calculate the factors of 98074 and 98088 and find the biggest common factor number .

Step-1: Prime Factorization of 98074

Prime factors of 98074 are 2, 49037. Prime factorization of 98074 in exponential form is:

98074 = 2¹ × 49037¹

Step-2: Prime Factorization of 98088

Prime factors of 98088 are 2, 3, 61, 67. Prime factorization of 98088 in exponential form is:

98088 = 2³ × 3¹ × 61¹ × 67¹

Step-3: Factors of 98074

List of positive integer factors of 98074 that divides 98074 without a remainder.

1, 2, 49037

Step-4: Factors of 98088

List of positive integer factors of 98088 that divides 98074 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402, 488, 536, 732, 804, 1464, 1608, 4087, 8174, 12261, 16348, 24522, 32696, 49044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98074 and 98088. The biggest common factor number is the GCF number.
So the greatest common factor 98074 and 98088 is 2.

Also check out the Least Common Multiple of 98074 and 98088