What is the Greatest Common Factor of 1029 and 1034?

Greatest common factor (GCF) of 1029 and 1034 is 1.

GCF(1029,1034) = 1

We will now calculate the prime factors of 1029 and 1034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1029 and 1034.

How to find the GCF of 1029 and 1034?

We will first find the prime factorization of 1029 and 1034. After we will calculate the factors of 1029 and 1034 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 1034

Prime factors of 1034 are 2, 11, 47. Prime factorization of 1034 in exponential form is:

1034 = 2¹ × 11¹ × 47¹

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 1034

List of positive integer factors of 1034 that divides 1029 without a remainder.

1, 2, 11, 22, 47, 94, 517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1029 and 1034. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1034 is 1.

Also check out the Least Common Multiple of 1029 and 1034