What is the Greatest Common Factor of 1029 and 1041?

Greatest common factor (GCF) of 1029 and 1041 is 3.

GCF(1029,1041) = 3

We will now calculate the prime factors of 1029 and 1041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1029 and 1041.

How to find the GCF of 1029 and 1041?

We will first find the prime factorization of 1029 and 1041. After we will calculate the factors of 1029 and 1041 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 1041

Prime factors of 1041 are 3, 347. Prime factorization of 1041 in exponential form is:

1041 = 3¹ × 347¹

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 1041

List of positive integer factors of 1041 that divides 1029 without a remainder.

1, 3, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1029 and 1041. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1041 is 3.

Also check out the Least Common Multiple of 1029 and 1041