What is the Greatest Common Factor of 61450 and 61460?

Greatest common factor (GCF) of 61450 and 61460 is 10.

GCF(61450,61460) = 10

We will now calculate the prime factors of 61450 and 61460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61450 and 61460.

How to find the GCF of 61450 and 61460?

We will first find the prime factorization of 61450 and 61460. After we will calculate the factors of 61450 and 61460 and find the biggest common factor number .

Step-1: Prime Factorization of 61450

Prime factors of 61450 are 2, 5, 1229. Prime factorization of 61450 in exponential form is:

61450 = 2¹ × 5² × 1229¹

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 61450

List of positive integer factors of 61450 that divides 61450 without a remainder.

1, 2, 5, 10, 25, 50, 1229, 2458, 6145, 12290, 30725

Step-4: Factors of 61460

List of positive integer factors of 61460 that divides 61450 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 61450 and 61460. The biggest common factor number is the GCF number.
So the greatest common factor 61450 and 61460 is 10.

Also check out the Least Common Multiple of 61450 and 61460