What is the Greatest Common Factor of 1010 and 1030?

Greatest common factor (GCF) of 1010 and 1030 is 10.

GCF(1010,1030) = 10

We will now calculate the prime factors of 1010 and 1030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1010 and 1030.

How to find the GCF of 1010 and 1030?

We will first find the prime factorization of 1010 and 1030. After we will calculate the factors of 1010 and 1030 and find the biggest common factor number .

Step-1: Prime Factorization of 1010

Prime factors of 1010 are 2, 5, 101. Prime factorization of 1010 in exponential form is:

1010 = 2¹ × 5¹ × 101¹

Step-2: Prime Factorization of 1030

Prime factors of 1030 are 2, 5, 103. Prime factorization of 1030 in exponential form is:

1030 = 2¹ × 5¹ × 103¹

Step-3: Factors of 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1, 2, 5, 10, 101, 202, 505

Step-4: Factors of 1030

List of positive integer factors of 1030 that divides 1010 without a remainder.

1, 2, 5, 10, 103, 206, 515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1010 and 1030. The biggest common factor number is the GCF number.
So the greatest common factor 1010 and 1030 is 10.

Also check out the Least Common Multiple of 1010 and 1030