What is the Greatest Common Factor of 61530 and 61538?

Greatest common factor (GCF) of 61530 and 61538 is 2.

GCF(61530,61538) = 2

We will now calculate the prime factors of 61530 and 61538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61530 and 61538.

How to find the GCF of 61530 and 61538?

We will first find the prime factorization of 61530 and 61538. After we will calculate the factors of 61530 and 61538 and find the biggest common factor number .

Step-1: Prime Factorization of 61530

Prime factors of 61530 are 2, 3, 5, 7, 293. Prime factorization of 61530 in exponential form is:

61530 = 2¹ × 3¹ × 5¹ × 7¹ × 293¹

Step-2: Prime Factorization of 61538

Prime factors of 61538 are 2, 29, 1061. Prime factorization of 61538 in exponential form is:

61538 = 2¹ × 29¹ × 1061¹

Step-3: Factors of 61530

List of positive integer factors of 61530 that divides 61530 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 293, 586, 879, 1465, 1758, 2051, 2930, 4102, 4395, 6153, 8790, 10255, 12306, 20510, 30765

Step-4: Factors of 61538

List of positive integer factors of 61538 that divides 61530 without a remainder.

1, 2, 29, 58, 1061, 2122, 30769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61530 and 61538. The biggest common factor number is the GCF number.
So the greatest common factor 61530 and 61538 is 2.

Also check out the Least Common Multiple of 61530 and 61538