What is the Greatest Common Factor of 61455 and 61460?

Greatest common factor (GCF) of 61455 and 61460 is 5.

GCF(61455,61460) = 5

We will now calculate the prime factors of 61455 and 61460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61455 and 61460.

How to find the GCF of 61455 and 61460?

We will first find the prime factorization of 61455 and 61460. After we will calculate the factors of 61455 and 61460 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 61460

Prime factors of 61460 are 2, 5, 7, 439. Prime factorization of 61460 in exponential form is:

61460 = 2² × 5¹ × 7¹ × 439¹

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 61460

List of positive integer factors of 61460 that divides 61455 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 439, 878, 1756, 2195, 3073, 4390, 6146, 8780, 12292, 15365, 30730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61455 and 61460. The biggest common factor number is the GCF number.
So the greatest common factor 61455 and 61460 is 5.

Also check out the Least Common Multiple of 61455 and 61460