What is the Greatest Common Factor of 88976 and 88996?

Greatest common factor (GCF) of 88976 and 88996 is 4.

GCF(88976,88996) = 4

We will now calculate the prime factors of 88976 and 88996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88976 and 88996.

How to find the GCF of 88976 and 88996?

We will first find the prime factorization of 88976 and 88996. After we will calculate the factors of 88976 and 88996 and find the biggest common factor number .

Step-1: Prime Factorization of 88976

Prime factors of 88976 are 2, 67, 83. Prime factorization of 88976 in exponential form is:

88976 = 2⁴ × 67¹ × 83¹

Step-2: Prime Factorization of 88996

Prime factors of 88996 are 2, 19, 1171. Prime factorization of 88996 in exponential form is:

88996 = 2² × 19¹ × 1171¹

Step-3: Factors of 88976

List of positive integer factors of 88976 that divides 88976 without a remainder.

1, 2, 4, 8, 16, 67, 83, 134, 166, 268, 332, 536, 664, 1072, 1328, 5561, 11122, 22244, 44488

Step-4: Factors of 88996

List of positive integer factors of 88996 that divides 88976 without a remainder.

1, 2, 4, 19, 38, 76, 1171, 2342, 4684, 22249, 44498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88976 and 88996. The biggest common factor number is the GCF number.
So the greatest common factor 88976 and 88996 is 4.

Also check out the Least Common Multiple of 88976 and 88996