What is the Greatest Common Factor of 90972 and 90983?

Greatest common factor (GCF) of 90972 and 90983 is 1.

GCF(90972,90983) = 1

We will now calculate the prime factors of 90972 and 90983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90972 and 90983.

How to find the GCF of 90972 and 90983?

We will first find the prime factorization of 90972 and 90983. After we will calculate the factors of 90972 and 90983 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 90983

Prime factors of 90983 are 37, 2459. Prime factorization of 90983 in exponential form is:

90983 = 37¹ × 2459¹

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 90983

List of positive integer factors of 90983 that divides 90972 without a remainder.

1, 37, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90972 and 90983. The biggest common factor number is the GCF number.
So the greatest common factor 90972 and 90983 is 1.

Also check out the Least Common Multiple of 90972 and 90983