What is the Greatest Common Factor of 88942 and 88949?

Greatest common factor (GCF) of 88942 and 88949 is 7.

GCF(88942,88949) = 7

We will now calculate the prime factors of 88942 and 88949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88942 and 88949.

How to find the GCF of 88942 and 88949?

We will first find the prime factorization of 88942 and 88949. After we will calculate the factors of 88942 and 88949 and find the biggest common factor number .

Step-1: Prime Factorization of 88942

Prime factors of 88942 are 2, 7, 6353. Prime factorization of 88942 in exponential form is:

88942 = 2¹ × 7¹ × 6353¹

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 88942

List of positive integer factors of 88942 that divides 88942 without a remainder.

1, 2, 7, 14, 6353, 12706, 44471

Step-4: Factors of 88949

List of positive integer factors of 88949 that divides 88942 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88942 and 88949. The biggest common factor number is the GCF number.
So the greatest common factor 88942 and 88949 is 7.

Also check out the Least Common Multiple of 88942 and 88949