What is the Greatest Common Factor of 39007 and 39026?

Greatest common factor (GCF) of 39007 and 39026 is 19.

GCF(39007,39026) = 19

We will now calculate the prime factors of 39007 and 39026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39007 and 39026.

How to find the GCF of 39007 and 39026?

We will first find the prime factorization of 39007 and 39026. After we will calculate the factors of 39007 and 39026 and find the biggest common factor number .

Step-1: Prime Factorization of 39007

Prime factors of 39007 are 19, 2053. Prime factorization of 39007 in exponential form is:

39007 = 19¹ × 2053¹

Step-2: 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-3: Factors of 39007

List of positive integer factors of 39007 that divides 39007 without a remainder.

1, 19, 2053

Step-4: Factors of 39026

List of positive integer factors of 39026 that divides 39007 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39007 and 39026. The biggest common factor number is the GCF number.
So the greatest common factor 39007 and 39026 is 19.

Also check out the Least Common Multiple of 39007 and 39026