What is the Greatest Common Factor of 1029 and 1045?

Greatest common factor (GCF) of 1029 and 1045 is 1.

GCF(1029,1045) = 1

We will now calculate the prime factors of 1029 and 1045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1029 and 1045.

How to find the GCF of 1029 and 1045?

We will first find the prime factorization of 1029 and 1045. After we will calculate the factors of 1029 and 1045 and find the biggest common factor number .

Step-1: Prime Factorization of 1029

Prime factors of 1029 are 3, 7. Prime factorization of 1029 in exponential form is:

1029 = 3¹ × 7³

Step-2: Prime Factorization of 1045

Prime factors of 1045 are 5, 11, 19. Prime factorization of 1045 in exponential form is:

1045 = 5¹ × 11¹ × 19¹

Step-3: Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1, 3, 7, 21, 49, 147, 343

Step-4: Factors of 1045

List of positive integer factors of 1045 that divides 1029 without a remainder.

1, 5, 11, 19, 55, 95, 209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1029 and 1045. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1045 is 1.

Also check out the Least Common Multiple of 1029 and 1045