What is the Greatest Common Factor of 96672 and 96690?

Greatest common factor (GCF) of 96672 and 96690 is 6.

GCF(96672,96690) = 6

We will now calculate the prime factors of 96672 and 96690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96672 and 96690.

How to find the GCF of 96672 and 96690?

We will first find the prime factorization of 96672 and 96690. After we will calculate the factors of 96672 and 96690 and find the biggest common factor number .

Step-1: Prime Factorization of 96672

Prime factors of 96672 are 2, 3, 19, 53. Prime factorization of 96672 in exponential form is:

96672 = 2⁵ × 3¹ × 19¹ × 53¹

Step-2: Prime Factorization of 96690

Prime factors of 96690 are 2, 3, 5, 11, 293. Prime factorization of 96690 in exponential form is:

96690 = 2¹ × 3¹ × 5¹ × 11¹ × 293¹

Step-3: Factors of 96672

List of positive integer factors of 96672 that divides 96672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 53, 57, 76, 96, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 608, 636, 848, 912, 1007, 1272, 1696, 1824, 2014, 2544, 3021, 4028, 5088, 6042, 8056, 12084, 16112, 24168, 32224, 48336

Step-4: Factors of 96690

List of positive integer factors of 96690 that divides 96672 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 293, 330, 586, 879, 1465, 1758, 2930, 3223, 4395, 6446, 8790, 9669, 16115, 19338, 32230, 48345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96672 and 96690. The biggest common factor number is the GCF number.
So the greatest common factor 96672 and 96690 is 6.

Also check out the Least Common Multiple of 96672 and 96690