What is the Greatest Common Factor of 61455 and 61470?

Greatest common factor (GCF) of 61455 and 61470 is 15.

GCF(61455,61470) = 15

We will now calculate the prime factors of 61455 and 61470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61455 and 61470.

How to find the GCF of 61455 and 61470?

We will first find the prime factorization of 61455 and 61470. After we will calculate the factors of 61455 and 61470 and find the biggest common factor number .

Step-1: Prime Factorization of 61455

Prime factors of 61455 are 3, 5, 17, 241. Prime factorization of 61455 in exponential form is:

61455 = 3¹ × 5¹ × 17¹ × 241¹

Step-2: Prime Factorization of 61470

Prime factors of 61470 are 2, 3, 5, 683. Prime factorization of 61470 in exponential form is:

61470 = 2¹ × 3² × 5¹ × 683¹

Step-3: Factors of 61455

List of positive integer factors of 61455 that divides 61455 without a remainder.

1, 3, 5, 15, 17, 51, 85, 241, 255, 723, 1205, 3615, 4097, 12291, 20485

Step-4: Factors of 61470

List of positive integer factors of 61470 that divides 61455 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 683, 1366, 2049, 3415, 4098, 6147, 6830, 10245, 12294, 20490, 30735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61455 and 61470. The biggest common factor number is the GCF number.
So the greatest common factor 61455 and 61470 is 15.

Also check out the Least Common Multiple of 61455 and 61470