What is the Greatest Common Factor of 88028 and 88034?

Greatest common factor (GCF) of 88028 and 88034 is 2.

GCF(88028,88034) = 2

We will now calculate the prime factors of 88028 and 88034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88028 and 88034.

How to find the GCF of 88028 and 88034?

We will first find the prime factorization of 88028 and 88034. After we will calculate the factors of 88028 and 88034 and find the biggest common factor number .

Step-1: Prime Factorization of 88028

Prime factors of 88028 are 2, 59, 373. Prime factorization of 88028 in exponential form is:

88028 = 2² × 59¹ × 373¹

Step-2: Prime Factorization of 88034

Prime factors of 88034 are 2, 44017. Prime factorization of 88034 in exponential form is:

88034 = 2¹ × 44017¹

Step-3: Factors of 88028

List of positive integer factors of 88028 that divides 88028 without a remainder.

1, 2, 4, 59, 118, 236, 373, 746, 1492, 22007, 44014

Step-4: Factors of 88034

List of positive integer factors of 88034 that divides 88028 without a remainder.

1, 2, 44017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88028 and 88034. The biggest common factor number is the GCF number.
So the greatest common factor 88028 and 88034 is 2.

Also check out the Least Common Multiple of 88028 and 88034