What is the Greatest Common Factor of 39046 and 39053?

Greatest common factor (GCF) of 39046 and 39053 is 7.

GCF(39046,39053) = 7

We will now calculate the prime factors of 39046 and 39053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39046 and 39053.

How to find the GCF of 39046 and 39053?

We will first find the prime factorization of 39046 and 39053. After we will calculate the factors of 39046 and 39053 and find the biggest common factor number .

Step-1: Prime Factorization of 39046

Prime factors of 39046 are 2, 7, 2789. Prime factorization of 39046 in exponential form is:

39046 = 2¹ × 7¹ × 2789¹

Step-2: Prime Factorization of 39053

Prime factors of 39053 are 7, 797. Prime factorization of 39053 in exponential form is:

39053 = 7² × 797¹

Step-3: Factors of 39046

List of positive integer factors of 39046 that divides 39046 without a remainder.

1, 2, 7, 14, 2789, 5578, 19523

Step-4: Factors of 39053

List of positive integer factors of 39053 that divides 39046 without a remainder.

1, 7, 49, 797, 5579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39046 and 39053. The biggest common factor number is the GCF number.
So the greatest common factor 39046 and 39053 is 7.

Also check out the Least Common Multiple of 39046 and 39053