What is the Greatest Common Factor of 98750 and 98769?

Greatest common factor (GCF) of 98750 and 98769 is 1.

GCF(98750,98769) = 1

We will now calculate the prime factors of 98750 and 98769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98750 and 98769.

How to find the GCF of 98750 and 98769?

We will first find the prime factorization of 98750 and 98769. After we will calculate the factors of 98750 and 98769 and find the biggest common factor number .

Step-1: Prime Factorization of 98750

Prime factors of 98750 are 2, 5, 79. Prime factorization of 98750 in exponential form is:

98750 = 2¹ × 5⁴ × 79¹

Step-2: Prime Factorization of 98769

Prime factors of 98769 are 3, 11, 41, 73. Prime factorization of 98769 in exponential form is:

98769 = 3¹ × 11¹ × 41¹ × 73¹

Step-3: Factors of 98750

List of positive integer factors of 98750 that divides 98750 without a remainder.

1, 2, 5, 10, 25, 50, 79, 125, 158, 250, 395, 625, 790, 1250, 1975, 3950, 9875, 19750, 49375

Step-4: Factors of 98769

List of positive integer factors of 98769 that divides 98750 without a remainder.

1, 3, 11, 33, 41, 73, 123, 219, 451, 803, 1353, 2409, 2993, 8979, 32923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98750 and 98769. The biggest common factor number is the GCF number.
So the greatest common factor 98750 and 98769 is 1.

Also check out the Least Common Multiple of 98750 and 98769