What is the Greatest Common Factor of 90958 and 90972?

Greatest common factor (GCF) of 90958 and 90972 is 14.

GCF(90958,90972) = 14

We will now calculate the prime factors of 90958 and 90972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90958 and 90972.

How to find the GCF of 90958 and 90972?

We will first find the prime factorization of 90958 and 90972. After we will calculate the factors of 90958 and 90972 and find the biggest common factor number .

Step-1: Prime Factorization of 90958

Prime factors of 90958 are 2, 7, 73, 89. Prime factorization of 90958 in exponential form is:

90958 = 2¹ × 7¹ × 73¹ × 89¹

Step-2: 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-3: Factors of 90958

List of positive integer factors of 90958 that divides 90958 without a remainder.

1, 2, 7, 14, 73, 89, 146, 178, 511, 623, 1022, 1246, 6497, 12994, 45479

Step-4: Factors of 90972

List of positive integer factors of 90972 that divides 90958 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90958 and 90972. The biggest common factor number is the GCF number.
So the greatest common factor 90958 and 90972 is 14.

Also check out the Least Common Multiple of 90958 and 90972