What is the Greatest Common Factor of 88084 and 88088?

Greatest common factor (GCF) of 88084 and 88088 is 4.

GCF(88084,88088) = 4

We will now calculate the prime factors of 88084 and 88088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88084 and 88088.

How to find the GCF of 88084 and 88088?

We will first find the prime factorization of 88084 and 88088. After we will calculate the factors of 88084 and 88088 and find the biggest common factor number .

Step-1: Prime Factorization of 88084

Prime factors of 88084 are 2, 19, 61. Prime factorization of 88084 in exponential form is:

88084 = 2² × 19² × 61¹

Step-2: Prime Factorization of 88088

Prime factors of 88088 are 2, 7, 11, 13. Prime factorization of 88088 in exponential form is:

88088 = 2³ × 7¹ × 11² × 13¹

Step-3: Factors of 88084

List of positive integer factors of 88084 that divides 88084 without a remainder.

1, 2, 4, 19, 38, 61, 76, 122, 244, 361, 722, 1159, 1444, 2318, 4636, 22021, 44042

Step-4: Factors of 88088

List of positive integer factors of 88088 that divides 88084 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 121, 143, 154, 182, 242, 286, 308, 364, 484, 572, 616, 728, 847, 968, 1001, 1144, 1573, 1694, 2002, 3146, 3388, 4004, 6292, 6776, 8008, 11011, 12584, 22022, 44044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88084 and 88088. The biggest common factor number is the GCF number.
So the greatest common factor 88084 and 88088 is 4.

Also check out the Least Common Multiple of 88084 and 88088