What is the Greatest Common Factor of 39026 and 39045?

Greatest common factor (GCF) of 39026 and 39045 is 19.

GCF(39026,39045) = 19

We will now calculate the prime factors of 39026 and 39045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39026 and 39045.

How to find the GCF of 39026 and 39045?

We will first find the prime factorization of 39026 and 39045. After we will calculate the factors of 39026 and 39045 and find the biggest common factor number .

Step-1: Prime Factorization of 39026

Prime factors of 39026 are 2, 13, 19, 79. Prime factorization of 39026 in exponential form is:

39026 = 2¹ × 13¹ × 19¹ × 79¹

Step-2: Prime Factorization of 39045

Prime factors of 39045 are 3, 5, 19, 137. Prime factorization of 39045 in exponential form is:

39045 = 3¹ × 5¹ × 19¹ × 137¹

Step-3: Factors of 39026

List of positive integer factors of 39026 that divides 39026 without a remainder.

1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513

Step-4: Factors of 39045

List of positive integer factors of 39045 that divides 39026 without a remainder.

1, 3, 5, 15, 19, 57, 95, 137, 285, 411, 685, 2055, 2603, 7809, 13015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39026 and 39045. The biggest common factor number is the GCF number.
So the greatest common factor 39026 and 39045 is 19.

Also check out the Least Common Multiple of 39026 and 39045