What is the Greatest Common Factor of 61026 and 61033?

Greatest common factor (GCF) of 61026 and 61033 is 7.

GCF(61026,61033) = 7

We will now calculate the prime factors of 61026 and 61033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61026 and 61033.

How to find the GCF of 61026 and 61033?

We will first find the prime factorization of 61026 and 61033. After we will calculate the factors of 61026 and 61033 and find the biggest common factor number .

Step-1: Prime Factorization of 61026

Prime factors of 61026 are 2, 3, 7, 1453. Prime factorization of 61026 in exponential form is:

61026 = 2¹ × 3¹ × 7¹ × 1453¹

Step-2: Prime Factorization of 61033

Prime factors of 61033 are 7, 8719. Prime factorization of 61033 in exponential form is:

61033 = 7¹ × 8719¹

Step-3: Factors of 61026

List of positive integer factors of 61026 that divides 61026 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1453, 2906, 4359, 8718, 10171, 20342, 30513

Step-4: Factors of 61033

List of positive integer factors of 61033 that divides 61026 without a remainder.

1, 7, 8719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61026 and 61033. The biggest common factor number is the GCF number.
So the greatest common factor 61026 and 61033 is 7.

Also check out the Least Common Multiple of 61026 and 61033