What is the Greatest Common Factor of 88940 and 88949?

Greatest common factor (GCF) of 88940 and 88949 is 1.

GCF(88940,88949) = 1

We will now calculate the prime factors of 88940 and 88949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88940 and 88949.

How to find the GCF of 88940 and 88949?

We will first find the prime factorization of 88940 and 88949. After we will calculate the factors of 88940 and 88949 and find the biggest common factor number .

Step-1: Prime Factorization of 88940

Prime factors of 88940 are 2, 5, 4447. Prime factorization of 88940 in exponential form is:

88940 = 2² × 5¹ × 4447¹

Step-2: Prime Factorization of 88949

Prime factors of 88949 are 7, 97, 131. Prime factorization of 88949 in exponential form is:

88949 = 7¹ × 97¹ × 131¹

Step-3: Factors of 88940

List of positive integer factors of 88940 that divides 88940 without a remainder.

1, 2, 4, 5, 10, 20, 4447, 8894, 17788, 22235, 44470

Step-4: Factors of 88949

List of positive integer factors of 88949 that divides 88940 without a remainder.

1, 7, 97, 131, 679, 917, 12707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88940 and 88949. The biggest common factor number is the GCF number.
So the greatest common factor 88940 and 88949 is 1.

Also check out the Least Common Multiple of 88940 and 88949