What is the Greatest Common Factor of 96972 and 96990?

Greatest common factor (GCF) of 96972 and 96990 is 6.

GCF(96972,96990) = 6

We will now calculate the prime factors of 96972 and 96990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96972 and 96990.

How to find the GCF of 96972 and 96990?

We will first find the prime factorization of 96972 and 96990. After we will calculate the factors of 96972 and 96990 and find the biggest common factor number .

Step-1: Prime Factorization of 96972

Prime factors of 96972 are 2, 3, 8081. Prime factorization of 96972 in exponential form is:

96972 = 2² × 3¹ × 8081¹

Step-2: 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-3: Factors of 96972

List of positive integer factors of 96972 that divides 96972 without a remainder.

1, 2, 3, 4, 6, 12, 8081, 16162, 24243, 32324, 48486

Step-4: Factors of 96990

List of positive integer factors of 96990 that divides 96972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96972 and 96990. The biggest common factor number is the GCF number.
So the greatest common factor 96972 and 96990 is 6.

Also check out the Least Common Multiple of 96972 and 96990