What is the Greatest Common Factor of 88039 and 88046?

Greatest common factor (GCF) of 88039 and 88046 is 7.

GCF(88039,88046) = 7

We will now calculate the prime factors of 88039 and 88046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88039 and 88046.

How to find the GCF of 88039 and 88046?

We will first find the prime factorization of 88039 and 88046. After we will calculate the factors of 88039 and 88046 and find the biggest common factor number .

Step-1: Prime Factorization of 88039

Prime factors of 88039 are 7, 12577. Prime factorization of 88039 in exponential form is:

88039 = 7¹ × 12577¹

Step-2: Prime Factorization of 88046

Prime factors of 88046 are 2, 7, 19, 331. Prime factorization of 88046 in exponential form is:

88046 = 2¹ × 7¹ × 19¹ × 331¹

Step-3: Factors of 88039

List of positive integer factors of 88039 that divides 88039 without a remainder.

1, 7, 12577

Step-4: Factors of 88046

List of positive integer factors of 88046 that divides 88039 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 331, 662, 2317, 4634, 6289, 12578, 44023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88039 and 88046. The biggest common factor number is the GCF number.
So the greatest common factor 88039 and 88046 is 7.

Also check out the Least Common Multiple of 88039 and 88046