What is the Greatest Common Factor of 5073 and 5092?

Greatest common factor (GCF) of 5073 and 5092 is 19.

GCF(5073,5092) = 19

We will now calculate the prime factors of 5073 and 5092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5073 and 5092.

How to find the GCF of 5073 and 5092?

We will first find the prime factorization of 5073 and 5092. After we will calculate the factors of 5073 and 5092 and find the biggest common factor number .

Step-1: Prime Factorization of 5073

Prime factors of 5073 are 3, 19, 89. Prime factorization of 5073 in exponential form is:

5073 = 3¹ × 19¹ × 89¹

Step-2: Prime Factorization of 5092

Prime factors of 5092 are 2, 19, 67. Prime factorization of 5092 in exponential form is:

5092 = 2² × 19¹ × 67¹

Step-3: Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1, 3, 19, 57, 89, 267, 1691

Step-4: Factors of 5092

List of positive integer factors of 5092 that divides 5073 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5073 and 5092. The biggest common factor number is the GCF number.
So the greatest common factor 5073 and 5092 is 19.

Also check out the Least Common Multiple of 5073 and 5092