What is the Greatest Common Factor of 98507 and 98512?

Greatest common factor (GCF) of 98507 and 98512 is 1.

GCF(98507,98512) = 1

We will now calculate the prime factors of 98507 and 98512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98507 and 98512.

How to find the GCF of 98507 and 98512?

We will first find the prime factorization of 98507 and 98512. After we will calculate the factors of 98507 and 98512 and find the biggest common factor number .

Step-1: Prime Factorization of 98507

Prime factors of 98507 are 98507. Prime factorization of 98507 in exponential form is:

98507 = 98507¹

Step-2: Prime Factorization of 98512

Prime factors of 98512 are 2, 47, 131. Prime factorization of 98512 in exponential form is:

98512 = 2⁴ × 47¹ × 131¹

Step-3: Factors of 98507

List of positive integer factors of 98507 that divides 98507 without a remainder.

Step-4: Factors of 98512

List of positive integer factors of 98512 that divides 98507 without a remainder.

1, 2, 4, 8, 16, 47, 94, 131, 188, 262, 376, 524, 752, 1048, 2096, 6157, 12314, 24628, 49256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98507 and 98512. The biggest common factor number is the GCF number.
So the greatest common factor 98507 and 98512 is 1.

Also check out the Least Common Multiple of 98507 and 98512