What is the Greatest Common Factor of 89985 and 89992?

Greatest common factor (GCF) of 89985 and 89992 is 7.

GCF(89985,89992) = 7

We will now calculate the prime factors of 89985 and 89992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89985 and 89992.

How to find the GCF of 89985 and 89992?

We will first find the prime factorization of 89985 and 89992. After we will calculate the factors of 89985 and 89992 and find the biggest common factor number .

Step-1: Prime Factorization of 89985

Prime factors of 89985 are 3, 5, 7, 857. Prime factorization of 89985 in exponential form is:

89985 = 3¹ × 5¹ × 7¹ × 857¹

Step-2: 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-3: Factors of 89985

List of positive integer factors of 89985 that divides 89985 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 857, 2571, 4285, 5999, 12855, 17997, 29995

Step-4: Factors of 89992

List of positive integer factors of 89992 that divides 89985 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89985 and 89992. The biggest common factor number is the GCF number.
So the greatest common factor 89985 and 89992 is 7.

Also check out the Least Common Multiple of 89985 and 89992