What is the Greatest Common Factor of 39067 and 39074?

Greatest common factor (GCF) of 39067 and 39074 is 7.

GCF(39067,39074) = 7

We will now calculate the prime factors of 39067 and 39074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39067 and 39074.

How to find the GCF of 39067 and 39074?

We will first find the prime factorization of 39067 and 39074. After we will calculate the factors of 39067 and 39074 and find the biggest common factor number .

Step-1: Prime Factorization of 39067

Prime factors of 39067 are 7, 5581. Prime factorization of 39067 in exponential form is:

39067 = 7¹ × 5581¹

Step-2: Prime Factorization of 39074

Prime factors of 39074 are 2, 7, 2791. Prime factorization of 39074 in exponential form is:

39074 = 2¹ × 7¹ × 2791¹

Step-3: Factors of 39067

List of positive integer factors of 39067 that divides 39067 without a remainder.

1, 7, 5581

Step-4: Factors of 39074

List of positive integer factors of 39074 that divides 39067 without a remainder.

1, 2, 7, 14, 2791, 5582, 19537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39067 and 39074. The biggest common factor number is the GCF number.
So the greatest common factor 39067 and 39074 is 7.

Also check out the Least Common Multiple of 39067 and 39074