What is the Greatest Common Factor of 89992 and 90006?

Greatest common factor (GCF) of 89992 and 90006 is 14.

GCF(89992,90006) = 14

We will now calculate the prime factors of 89992 and 90006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89992 and 90006.

How to find the GCF of 89992 and 90006?

We will first find the prime factorization of 89992 and 90006. After we will calculate the factors of 89992 and 90006 and find the biggest common factor number .

Step-1: Prime Factorization of 89992

Prime factors of 89992 are 2, 7, 1607. Prime factorization of 89992 in exponential form is:

89992 = 2³ × 7¹ × 1607¹

Step-2: Prime Factorization of 90006

Prime factors of 90006 are 2, 3, 7, 2143. Prime factorization of 90006 in exponential form is:

90006 = 2¹ × 3¹ × 7¹ × 2143¹

Step-3: Factors of 89992

List of positive integer factors of 89992 that divides 89992 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1607, 3214, 6428, 11249, 12856, 22498, 44996

Step-4: Factors of 90006

List of positive integer factors of 90006 that divides 89992 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2143, 4286, 6429, 12858, 15001, 30002, 45003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89992 and 90006. The biggest common factor number is the GCF number.
So the greatest common factor 89992 and 90006 is 14.

Also check out the Least Common Multiple of 89992 and 90006