What is the Greatest Common Factor of 88673 and 88692?

Greatest common factor (GCF) of 88673 and 88692 is 19.

GCF(88673,88692) = 19

We will now calculate the prime factors of 88673 and 88692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88673 and 88692.

How to find the GCF of 88673 and 88692?

We will first find the prime factorization of 88673 and 88692. After we will calculate the factors of 88673 and 88692 and find the biggest common factor number .

Step-1: Prime Factorization of 88673

Prime factors of 88673 are 13, 19, 359. Prime factorization of 88673 in exponential form is:

88673 = 13¹ × 19¹ × 359¹

Step-2: Prime Factorization of 88692

Prime factors of 88692 are 2, 3, 19, 389. Prime factorization of 88692 in exponential form is:

88692 = 2² × 3¹ × 19¹ × 389¹

Step-3: Factors of 88673

List of positive integer factors of 88673 that divides 88673 without a remainder.

1, 13, 19, 247, 359, 4667, 6821

Step-4: Factors of 88692

List of positive integer factors of 88692 that divides 88673 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 389, 778, 1167, 1556, 2334, 4668, 7391, 14782, 22173, 29564, 44346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88673 and 88692. The biggest common factor number is the GCF number.
So the greatest common factor 88673 and 88692 is 19.

Also check out the Least Common Multiple of 88673 and 88692