What is the Greatest Common Factor of 96990 and 97010?

Greatest common factor (GCF) of 96990 and 97010 is 10.

GCF(96990,97010) = 10

We will now calculate the prime factors of 96990 and 97010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96990 and 97010.

How to find the GCF of 96990 and 97010?

We will first find the prime factorization of 96990 and 97010. After we will calculate the factors of 96990 and 97010 and find the biggest common factor number .

Step-1: Prime Factorization of 96990

Prime factors of 96990 are 2, 3, 5, 53, 61. Prime factorization of 96990 in exponential form is:

96990 = 2¹ × 3¹ × 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 97010

Prime factors of 97010 are 2, 5, 89, 109. Prime factorization of 97010 in exponential form is:

97010 = 2¹ × 5¹ × 89¹ × 109¹

Step-3: Factors of 96990

List of positive integer factors of 96990 that divides 96990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 61, 106, 122, 159, 183, 265, 305, 318, 366, 530, 610, 795, 915, 1590, 1830, 3233, 6466, 9699, 16165, 19398, 32330, 48495

Step-4: Factors of 97010

List of positive integer factors of 97010 that divides 96990 without a remainder.

1, 2, 5, 10, 89, 109, 178, 218, 445, 545, 890, 1090, 9701, 19402, 48505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96990 and 97010. The biggest common factor number is the GCF number.
So the greatest common factor 96990 and 97010 is 10.

Also check out the Least Common Multiple of 96990 and 97010