What is the Greatest Common Factor of 98770 and 98780?

Greatest common factor (GCF) of 98770 and 98780 is 10.

GCF(98770,98780) = 10

We will now calculate the prime factors of 98770 and 98780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98770 and 98780.

How to find the GCF of 98770 and 98780?

We will first find the prime factorization of 98770 and 98780. After we will calculate the factors of 98770 and 98780 and find the biggest common factor number .

Step-1: Prime Factorization of 98770

Prime factors of 98770 are 2, 5, 7, 17, 83. Prime factorization of 98770 in exponential form is:

98770 = 2¹ × 5¹ × 7¹ × 17¹ × 83¹

Step-2: Prime Factorization of 98780

Prime factors of 98780 are 2, 5, 11, 449. Prime factorization of 98780 in exponential form is:

98780 = 2² × 5¹ × 11¹ × 449¹

Step-3: Factors of 98770

List of positive integer factors of 98770 that divides 98770 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 83, 85, 119, 166, 170, 238, 415, 581, 595, 830, 1162, 1190, 1411, 2822, 2905, 5810, 7055, 9877, 14110, 19754, 49385

Step-4: Factors of 98780

List of positive integer factors of 98780 that divides 98770 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 449, 898, 1796, 2245, 4490, 4939, 8980, 9878, 19756, 24695, 49390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98770 and 98780. The biggest common factor number is the GCF number.
So the greatest common factor 98770 and 98780 is 10.

Also check out the Least Common Multiple of 98770 and 98780