What is the Greatest Common Factor of 89971 and 89978?

Greatest common factor (GCF) of 89971 and 89978 is 7.

GCF(89971,89978) = 7

We will now calculate the prime factors of 89971 and 89978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89971 and 89978.

How to find the GCF of 89971 and 89978?

We will first find the prime factorization of 89971 and 89978. After we will calculate the factors of 89971 and 89978 and find the biggest common factor number .

Step-1: Prime Factorization of 89971

Prime factors of 89971 are 7, 12853. Prime factorization of 89971 in exponential form is:

89971 = 7¹ × 12853¹

Step-2: Prime Factorization of 89978

Prime factors of 89978 are 2, 7, 6427. Prime factorization of 89978 in exponential form is:

89978 = 2¹ × 7¹ × 6427¹

Step-3: Factors of 89971

List of positive integer factors of 89971 that divides 89971 without a remainder.

1, 7, 12853

Step-4: Factors of 89978

List of positive integer factors of 89978 that divides 89971 without a remainder.

1, 2, 7, 14, 6427, 12854, 44989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89971 and 89978. The biggest common factor number is the GCF number.
So the greatest common factor 89971 and 89978 is 7.

Also check out the Least Common Multiple of 89971 and 89978