What is the Greatest Common Factor of 90972 and 90984?

Greatest common factor (GCF) of 90972 and 90984 is 12.

GCF(90972,90984) = 12

We will now calculate the prime factors of 90972 and 90984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90972 and 90984.

How to find the GCF of 90972 and 90984?

We will first find the prime factorization of 90972 and 90984. After we will calculate the factors of 90972 and 90984 and find the biggest common factor number .

Step-1: Prime Factorization of 90972

Prime factors of 90972 are 2, 3, 7, 19. Prime factorization of 90972 in exponential form is:

90972 = 2² × 3² × 7¹ × 19²

Step-2: Prime Factorization of 90984

Prime factors of 90984 are 2, 3, 17, 223. Prime factorization of 90984 in exponential form is:

90984 = 2³ × 3¹ × 17¹ × 223¹

Step-3: Factors of 90972

List of positive integer factors of 90972 that divides 90972 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 361, 399, 532, 684, 722, 798, 1083, 1197, 1444, 1596, 2166, 2394, 2527, 3249, 4332, 4788, 5054, 6498, 7581, 10108, 12996, 15162, 22743, 30324, 45486

Step-4: Factors of 90984

List of positive integer factors of 90984 that divides 90972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 223, 408, 446, 669, 892, 1338, 1784, 2676, 3791, 5352, 7582, 11373, 15164, 22746, 30328, 45492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90972 and 90984. The biggest common factor number is the GCF number.
So the greatest common factor 90972 and 90984 is 12.

Also check out the Least Common Multiple of 90972 and 90984